He would have to be impeached, I believe.
I don’t think this would happen, even if the judge found him in contempt.
Newt Gingrich was sending the Marshalls to get Clinton when he refused to comply with the court-there is precedent.Clinton decided he’d comply after all
The truth be told, no one knows. My take is that impeachement is for Presidents, if he's not eligible, he's not President. He's an illegal usurper, if ineligible because of foreign birth, and never naturalized, he's an illegal alien usurper.