The US was founded and people immigrated there because they had enough of the intolerance of religion and enough of divine rights of kings, monarchs and all that stuff. Also, the catholic church being a relevant political and even military force.
The US has a secular country and was founded by those intellectual types you seem to dislike.
I would not dare say that the US government is a "Christian" government (It is not a "theocracy"), but just look through history with me and you will see why America has such a strong tie with the Christian faith.
History seems to contradict your statement.
Notable dates:
1490-1492 - Columbus' commission was given to set out to find a new world.
According to Columbus' personal log, his purpose in seeking undiscovered worlds was to "bring the Gospel of Jesus Christ to the heathens. .... It was the Lord who put into my mind ... that it would be possible to sail from here to the Indies ... I am the most unworthy sinner, but I have cried out to the Lord for grace and mercy, and they have covered me completely ... No one should fear to undertake any task in the name of our Saviour, if it is just and if the intention is purely for His holy service." (Columbus' Book of Prophecies)
April 10, 1606 - The Charter for the Virginia Colony read in part:
"To the glory of His divine Majesty, in propagating of the Christian religion to such people as yet live in ignorance of the true knowledge and worship of God."
November 3, 1620 - King James I grants the Charter of the Plymouth council.
"In the hope thereby to advance the enlargement of the Christian religion, to the glory of God Almighty."
November 11, 1620 - The Pilgrims sign the Mayflower Compact aboard the Mayflower, in Plymouth harbor.
"For the glory of God and advancement of ye Christian faith ... doe by these presents solemnly & mutually in ye presence of God and one of another, covenant & combine our selves togeather into a civill body politick."
March 4, 1629 - The first Charter of Massachusetts read in part:
"For the directing, ruling, and disposeing of all other Matters and Thinges, whereby our said People may be soe religiously, peaceablie, and civilly governed, as their good life and orderlie Conversacon, maie wynn and incite the Natives of the Country to the Knowledg and Obedience of the onlie true God and Savior of Mankinde, and the Christian Fayth, which in our Royall Intencon, and The Adventurers free profession, is the principall Ende of the Plantacion.."
January 14, 1638 - The towns of Hartford, Weathersfield and Windsor adopt the Fundamental Orders of Connecticut.
"To mayntayne and presearve the liberty and purity of the Gospell of our Lord Jesus, which we now professe..."
August 4, 1639 - The governing body of New Hampshire is established.
"Considering with ourselves the holy will of God and our own necessity, that we should not live without wholesome laws and civil government among us, of which we are altogether destitute, do, in the name of Christ and in the sight of God, combine ourselves together to erect and set up among us such government as shall be, to our best discerning, agreeable to the will of God..."
September 26, 1642 - The rules and precepts that were to govern Harvard were set up.
"Let every Student be plainly instructed, and earnestly pressed to consider well, the maine end of his life and studies is, to know God and Jesus Christ which is eternall life, John 17:3 and therefore to lay Christ in the bottome, as the only foundation of all sound knowledge and Learning. And seeing the Lord only giveth wisdome, Let every one seriously set himselfe by prayer in secret to seeke it of him Prov. 2.3."
Harvard College was founded on Christi Gloriam and later dedicated Christo et Ecclesiae. The founders of Harvard believed that "all knowledge without Christ was vain."
The charter of Yale University clearly expressed the purpose for which the school was founded: "Whereas several well disposed and Publick spirited Persons of their sincere Regard to & zeal for upholding & propagating of the Christian Protestant Religion ... youth may be instructed in the Arts & Sciences who through the blessing of Almighty God may be fitted for Publick employment both in Church & Civil State."
In addition to Harvard and Yale, 106 out of the first 108 schools in America were founded on the Christian faith.
April 3, 1644 - The New Haven Colony adopts their charter.
"That the judicial laws of God, as they were delivered by Moses ... be a rule to all the courts in this jurisdiction ..."
1647 - Governor William Bradford publishes Of Plimouth Plantation.
"Lastly, (and which was not least,) a great hope and inward zeall they (the Pilgrims) had of laying some good foundation, or at least to make some way thereunto, for ye propagation and advancing of ye gospell or ye kingdom of Christ in those remote parts of ye world; yea, though they should be but stepping-stones unto others for ye performing of so great a work ... their desires were set on ye ways of God, and to employ his ordinances; but they rested on his providence, and know whom they had beleeved."
April 21, 1649 - The Maryland Toleration Act is passed.
"Be it therefor ... enacted ... that no person or persons whatsoever within this province ... professing to believe in Jesus Christ shall ... henceforth be any ways troubled, molested (or disapproved of) ... in respect of his or her religion nor in the free exercise thereof ..."
April 25, 1689 - The Great Law of Pennsylvania is passed.
"Whereas the glory of Almighty God and the good of mankind is the reason and the end of government ... therefore government itself is a venerable ordinance of God ..."
May 20, 1775 - North Carolina passes the Mecklenburg County Resolutions.
"We hereby declare ourselves a free and independent people; are, and of a right ought to be, a sovereign and self-governing association, under control of no other power than that of our God and the general government of Congress."
Summer 12, 1775 - Continental Congress issues a call to all citizens to fast and pray and confess their sin that the Lord might bless the land.
"And it is recommended to Christians of all denominations, to assemble for public worship, and to abstain from servile labor and recreation on said day."
Summer 2-4, 1776 - Declaration of Independence written and signed.
"We hold these truths ... that all men are created equal, that they are endowed by their Creator with certain inalienable rights ... appealing to the Supreme Judge of the world ... And for the support of this Declaration, with firm reliance on the protection of Divine Providence..."
As the Declaration was being signed, Samuel Adams said: "We have this day restored the Sovereign to Whom all men ought to be obedient. He reigns in heaven, and from the rising to the setting of the sun, let his kingdom come."
On the same day, Benjamin Franklin suggested that the national motto be: "Rebellion to tyrants is obedience to God."
Historian and philosopher G.K. Chesterton said of the founding of America that it is "the only nation in the world that is founded on a creed. That creed is set forth in dogmatic and even theological lucidity in the Declaration of Independence."