It doesn't really matter if you talk or don't talk. If they don't like you, they will find a reason to arrest you and hold you. If you do not put yourself in the stress position required to cuff you, they will charge you with "Resisting arrest without violence." If you are out of town, you won't be able to make bail, and you'll wait in jail for a few weeks before your first hearing.

The notion of "innocent until proven guilty" and "you won't be punished before being found guilty" is long, long gone in the USA.

Not talking to the police will not protect you - what will protect you is not being there when the police arrive. Don't answer the door if the police knock. If anyone has called the police for any reason, including those not involving you, leave immediately.

If you have to interact with the police, behave in a respectful-to-the-point-of-obsequious; be warm, friendly and cooperative. Maybe they'll ignore you. But if you stubbornly insist on your rights, and refuse to talk, they will see that as disrespect and aggression and they will hurt you.