At your age, it might seem worthwhile. Trust me, it's not long after you're out of your parents house and paying rent that you realize that you had it pretty good not paying bills at home. It was maybe three months after I moved out and was working full time at a car wash paying my way through community college before I started thinking to myself, "All they wanted me to do was mow the lawn!"
Try to come up with some compromise instead. Maybe a dirt bike or a scooter. You've got to know that your parents are fighting you on this because all other things being equal, motorcycles are not as safe as cars. Find a way to show them that you can handle responsibility and that you'd take riding seriously. If that doesn't work then respect their wishes. When you move out of your parents house, do it right. Support yourself and be smart about it. Financing a motorcycle is not smart. Having a motorcycle in Florida without a garage to put it in is not smart. You might have to wait a while to get what you want, but if you can earn it for yourself in a respectable way (not by selling the car your parents bought you, that's lame), then it'll be worth that much more to you.