You said — “Do you think the USSC would invalidate such laws?”
In a word — “yes”...., they do so all the time.
Whether a law is passed by a signature from a President, or passed by no signature from a President or passed by overriding a veto from the President — the US Supreme Court *can* and *does* invalidate such laws as being unconstitutional all the time (and/or affirming them, too)... that’s what they do... LOL...
That is a weak response. You are assuming the legislation I refer to is unconstitutional, apart from the validity of signature of the President. But keep laughing.