Speaking from the perspective of a former Jew, it you want to wear the skullcap, wear it, if you don't, don't it is your decision, and none of the Jews or other classmates should criticize you for your beliefs. i am a atheist living with two Conservative Jewish parents, i eat kosher at home (they will not allow non kosher food in the house) so i abide by their beliefs, but i eat a ham and cheese sandwich last year at passover, and they didn't give a shit. i respect others beliefs, but personally do not follow them. do what you belief.
BTW, I know this is over two years old, but I wanted to put in my two cents.