2 year old boy in ballet?

I've been dancing my entire life, I do ballet for the exercise, relaxation and body shaping. My son loves to exercise with me when I am doing ballet at home. Would it be wrong to put a boy in ballet? I think it would be good as he does not go to daycare or anything, it would be a good social skill and he would love it. As well the exercise is good since it is winter and he doesnt go outside as often. He is a perfectly healthy and in shape baby boy. Some believe boy's should not do such things as ballet. Opinions?