Furious Trump told Speaker Johnson ‘we have to overturn this’ after conviction

The SC is allowed to weigh in on a State matter, but its only supposed to happen when it concerns something that the Federal Government has a say in, or a matter that includes a dispute between states. However, the SC itself if the sole arbiter of whether it reaches that threshold or not, so who knows what excuse they might pull out of Harlan Crow's jet.

One thing that is certain, however, is that it cannot act at all until all appeals in NY are exhausted. So that means the SC can't just zoom in and grab the case unless his appeals first get turned down by all courts through the highest appellate court in NY. Then his lawyers can ask the SC as a last resort, and we'll see where that leads.

They'll do it, then it'll be contested, and go to court. It will be appealed up to the SC where they'll decide it's allowed.

So, you're not going to want to hear this but SCOTUS is the court you appeal to after you lose at your state supreme court. SCOTUS rarely takes the case and even more rarely sides with the convicted person. If they vacate Trump's conviction it would be incredibly hypocritical considering their treatment of other people with real problems with their convictions.