How old are you, devbanana?
When I was a child, I really didn't like Mozart too much. I started to like him more around age 12, when I started playing a few more of his pieces. But still, I wasn't a big fan.
Then around age 17, I had to play a full Sonata, and I started to like him a bit more. Still though, I would prefer to be working on something by Rachmaninoff or Chopin.
At age 19, another teacher made me learn another full Mozart Sonata. This time, I really started to like it.
Now I am 25, and I have played many more of Mozart's works. The more I play his works, the more I love him and deeply respect his genius. My only real issue with Mozart is that he didn't take the cello seriously. As a cellist, that makes me really sad!
There are so many composers who I have warmed to in a similar fashion as I got older!
Your teacher is wise to wish to show you a harpsichord! Learning how to play them can only improve your musicianship!
The piano is an incredible vehicle for which to display musicianship, but not enough people approach it seriously in that way!
I'm 25, the same age as you.
I didn't have the most wide-ranging piano training as a child. I started at the age of 5, and I think around 10-11 I learned the Mozart K. 309. At the time I did not like it very much. When I was 11 I got a new piano teacher, and she was great, but we primarily worked on romantic pieces, and later on a few late romantic/20th century. I guess we did some classical also with Beethoven, though it wasn't until years later I realized Beethoven was technically in the classical period.
Once I was in college we did more of a range of pieces, and I came to enjoy Bach a lot more. I learned the prelude to his English Suite No. 2 BWV 807, and thought it was beautiful. Later I also learned the Italian Concerto, only the first movement though unfortunately (I might correct that this year). I think we did a Mozart piece though I don't remember what it was now. Most of my work though was still romantic, doing some Rachmaninoff (Polichinelle, Op. 3 No. 4), and the major work went to a piano concerto I was learning (Saint-Saëns Piano Concerto No. 2).
Anyway now I'm out of college and have the freedom to explore music a lot more. In college everything went into preparing for the juries at the end of the semester, so we focused heavily on 3-4 pieces. Now I'm learning a range of pieces, anywhere from pretty easy (level 6, learning Chopin Waltz Op. 69 No. 2 for my wife), up to very difficult (Bach Goldberg, Partita No. 6, Chopin Sonata No. 2). I enjoy it more this way; it helps me to have a range of styles at my disposal, and it widens my focus a lot more.
I guess my point in this was, only this year have I come to appreciate Mozart more, and various other styles. I love my current teacher's way of teaching because she explains why things should be played a certain way. I just finished Mozart K. 331, and she told me a lot about the pianos during Mozart's time. She showed me a recording of a piano with the janissary stops, to demonstrate how the Rondo Alla Turca should be played. Just a few examples.