Couldn't you just keep your cards in your glove box? Wouldn't they need a warrant to compel you to hand them over?
But, yes, destroying them immediately might be prudent until you are charged with destruction of evidence, hampering an investigation and any other trumped-up charge they could throw at you.
I just make it a policy to avoid communist states.
I won’t go to NY, CT, MA, RI, IL, CA, NJ.