And it should be noted that FDR's, Lincoln's and Truman's presidencies were driven by war. Reagan could have very easily passed the buck on the USSR to the next generation, but he was proactive. That's key and what makes him comparable to Jefferson and TR only. And he comes out much better compared to them.
I think Truman belongs in the 2nd tier. Anyone with enough guts to use the a-bomb to save American lives deserve great respect. He was also tough against the Soviets. Truman is respected by most politicans, and even Bush quotes him sometimes.
His wife was acting president after his stroke, and he was nothing short of lying in running "He kept us out of war", while declaring it just after he was inaugarated.