As a law abiding citizen you should pay your taxes. Avoiding tax is a crime. Simple
You should not give your ID Card as you cannot get a car in your name since you have no source of Income :). FBR now checks utility bills, purchase of cars, houses to detect people who do not pay tax but spend money.
Legally you should have money to buy a car. It is pretty fair. If you are a student your father can gift you a car which can then be in your name and that gift will be reflected in your tax return.
It is advisable that you should get NTN . It is a pretty useful document. You should pay your taxes (minimum) so that a tax history is maintained. After 10-20 years when you want to buy a house in your name you can prove that you earned that money legally, otherwise your belongings can be taken by the government.
Consult some family member who is familiar with such things or a tax consultant. 
