As others have said, all unenlightened Europeans in the 19th century were anti-semitic and xenophobic.
Much of the insane prejudice against Jews was tied to their great talent to assimiliate into other cultures and (ironically enough) master the arts in those cultures, and then evolve into great artists. Wagner's chief opposition to them stemmed from this. As you all know, nationalism in everything was the great European ambition, and Wagner, first and foremost, led the way in this. He wanted a distinctive German music and felt he had achieved that with this music dramas. He often cited Mendelssohn as an example of everything he was trying to abolish in his compositions, namely, an "internationalist style" devoid of any nationalistic tendencies or traits. Ironically, Wagner entrusted the premieres of almost all of his works to the great Jewish conductors of his time.
As to Chopin, well, to be honest, I had never heard him charged with anti-semitism before, but, as a European of that time, it sounds logical (and disgustingly stupid). An unfortunate aspect of Polish culture, well-documented, is its institutionalized anti-semitism. Again, a nationalistic trait, and a very reprehensible one at that.
The Jews in Europe -- thanks to the Roman Catholic Church -- were never forgiven for their alleged betrayal and murder of Jesus Christ. Another depressing legacy of that ancient and venerable institution and the root cause of all resulting anti-semitism.