I have been playing for 6 months and still havent played anything from a famouse composer. My favorite is Mozart. I was wondering if I would become a better player of Mozart's music if I stuck only to his music. Will I learn all of his " tricks" (for lack of better word)and style if I only played his Music?

Others may be in the know better than myself, but from what I have heard, if you are interested in playing original scores, much of Mozart's music can be relatively advanced. I've been having lessons for about 6 months too, and have been working on Clementi's Op. 36, Sonatina #1. It is a 3 part movement and I've been able to cover each movement in about 1-3 weeks each. (still, learning.

Bach's minuet (in G I believe) is also approachable.

keep us informed of your progress

no, you don't have to stick to just one composer. why not try many more? for learning and developing techniques, Bach's music is more fundamental, more than Mozart's. different composer's music would give you different aspects or emphasizse on techniques, which is another reason that you don't want to just stay with only one composer.

i do think there're some essential composers whose music most people would learn and play even just for training on basics:
Bach, Mozart, Clementi, Scarlatti, Beethoven ...

if you're more advanced, then those composers:
Chopin, Liszt, Brahms, Debussey, Rach...