Let me spell it out Whigs=moderate wing of the GOP party and Tories the Traditional or Conservative wing of the GOP party. Traditional wing Nixon, Goldwater and Traft. Moderate wing Teddy Roosevelt, Charles E Hughs and Eisenhower, the Bull Mooses.
I'm not sure about Hughes being a moderate, though very little is said about his political positions prior to the new deal. I also think Nixon is more of a progressive while Ike is a semi-conservative. Remember Nixon created the EPA, talked with Ted Kennedy about a public option, and was a firm advocate of wage and price controls, in addition to cutting America off from what was left of the Gold Standard