Are you 18 or over? If yes... then in the US a doctor can only tell someone that if you signed a paper saying it's OK for them to do that. The only other way, would be if a judge issued an Order that said someone can have that information.

If you go off the medication and do become a threat to yourself or others, then yes, there is a chance the police or your parents could get involved.

If you are taking prescriptions now, and plan to stop, you need to tell your doctor so you can do it safely. Depending on drugs and dosages they may need to be tapered off. Also, just because you stop, they can still be working in your body for a while; meaning you could stop today, but not feel different for 2 or 3 weeks. It's important to ask your doctor what to expect.

It sounds like you got a psychiatrist through the free therapy program, and what you want is a therapist you talk to about stuff. Do they have that kind of therapist through the free program?

How come your parents want you to take drugs?