What will happen if you show a police your fake driver's license when you get pulled over?
In most places that is at least a misdemeanor and in some places a felony. You will have a criminal record - not much of any way to get out of that - and lose your eligibility to get some jobs. You may lose your real license for a time, you will pay fines. You probably won’t go to jail, other than for booking and waiting for a judge to set your bail.
It’s not worth it. When a cop asks for your ID, give it to them. If you aren’t driving in the US, then tell them your real name, birthdate and current address.
You get a lot further with officers by simply being friendly, non-threatening and cooperative. This doesn’t mean that you have to give up your rights, but in most cases you are required to identify yourself when asked by an officer.