They didn’t give him unlimited power to compel things, just the apparent ability to legally break laws. So unless he is sending people with guns and or handcuffs to compel things, nothing would happen.
For example if he made an Executive Order outlining corruption consequences, the Supreme Court would just say “Lol no!” He could send in people to arrest them I guess, but he would have to suspend their constitutional rights to a trial. I don’t think people would feel good watching people get no due process.