The proposal is not to go directly to the Supreme Court. It is to sue Bragg and others and ask a Federal Judge to issue a temporary restraining order halting Judge Merchan from entering a judgment of guilt until the Federal court has an opportunity to review and rule on the serious Constitutional arguments that exist in this case.
I don’t know the likelihood of it being successful, but it would probably be worth a try.
Yes, I should have written federal court, not SC.