Nelson Rockefeller was a moderate Republican one who believes in socially moderate positions and center right fiscal positions. his supports were called Rockefeller Republicans.

Nelson Rockefeller was a member of the Republican Party.

Yes

Nelson Rockefeller was nominally a Republican, of the variety often called "RINO" or "Republican In Name Only" or "Country Club Republican". His political views were essentially the same as those of a "moderate democrat".

he was a non- progressive, which opposed the progressive movement