Unfortunately, I don’t think there’s no reason to think he wouldn’t once in power.
That's exactly what Dick Nixon did in 1969. He needed the Goldwater conservatives to get the nomination, so he courted them; but once in office, he gave them "nothingburger" appointments and pushed them aside. Detailed by Ralph Whalen (conservative appointee who quit after six months) in his book, Catch the Falling Flag.
Nixon went on to govern much as Nelson Rockefeller or any of the other "Me-Too" East Coast "good government" Republicans would have done -- as Ike would have done, for instance.
There wasn't much really conservative about Tricky Dick. At least he hated Communists and their Media maggots.