Trump is not a Republican.
Could have confused me because he's the leader of the Republican Party, sets the Republican agenda, and is the person the Republican majority in Congress follows.
Now is he a traditional Reaganite Republican, no. Is he even a true Republican, possibly not, but he is most definitely the face of the Republican Party, and its national leader.
The US administered Iraq after the war until a new government could be formed. That did not make George W Bush the President of Iraq.
That's a completely different case. Come on now. Trump ran for and won the Presidency
as the candidate of the Republican party. That means the party "owns" him, whether or not he fits the mold of a traditional Republican (fwiw, I agree that he doesn't).