Your parents don't "suck", they just want to keep you alive, even if they aren't using educated judgment in this matter. So why not educate them? Show them there's a viable, safe commuting world out there.
In the meantime, strike a compromise; agree to abide by their method of transportation if they pay for gas, not reimburse you. If their credit card isn't loose enough at the pump, you'll get to work your way. Fair enough?