When all is said and done, I think that the Obama and Eisenhower Presidencies are going to look like good analogues. Both Presidents are chilly rationalists. Both respect legal precedents more than they trust legislation and the transitory will of the people in states. Both are practically scandal-free administrations. Both started with a troublesome war that both found their way out of. Neither did much to 'grow' the strength of their Parties in either House of Congress. To compare ISIS to Fidel Castro is completely unfair to Fidel Castro, a gentleman by contrast to ISIS.
The definitive moderate Republican may have been Dwight Eisenhower, and I have heard plenty of Democrats praise the Eisenhower Presidency. He went along with Supreme Court rulings that outlawed segregationist practices, stayed clear of the McCarthy bandwagon, and let McCarthy implode.
gray -- did not vote in 1952 or 1956
white -- Eisenhower twice, Obama twice
deep blue -- Republican all four elections
light blue -- Republican all but 2008 (I assume that greater Omaha went for Ike twice)
light green -- Eisenhower once, Stevenson once, Obama never
dark green -- Stevenson twice, Obama never
pink -- Stevenson twice, Obama once
No state voted Democratic all four times, so no state is in deep red.