Can you name the last “moderate” Republican nominee to win the Presidency?
They can't. There has never been a moderate Republican who was one and ran as one to get elected.
Eisenhower won on the strength of being a WWII general, Nixon was law-and-order, Ford was not elected, Bush I benefitted from Reagan's coattails, and Bush II ran twice as a conservative, and still won by nail-biters.
Alf Landon, Wendell Willkie, Thomas Dewey, Ford, Bush I's 2nd term, Dole, McCain, Romney...all moderate losers.