Except this president thinks he has the powers of a king. Which he doesn't, and courts are right to slap him down.

There's no such thing as "courts overstep" in our system. The courts are the final word on things in the US. By definition, they cannot overstep. You or I can disagree with their rulings, but they have the force of law, unless overturned by a higher court.

Are the courts overstepping or is he just issuing blatantly illegal orders?

The courts are definitely overstepping. Note that I'm not arguing against injunctions by the higher courts. The issue is district court judges don't have jurisdiction outside their of their district and should not be trying to issue nationwide injunctions.

It's not the role of the executive to determine that, it's up to the judicial and legislative. Ignoring court orders is wildly inappropriate.