Who is on Mount Rushmore?
And why do you think they might be there? Who is on our money? (at least the money we regularly see) and why do you think they are there? (OK, Grant and Hamilton? I don't know...)
FDR did great things, both good and bad for us. But I don't consider him a great president. And actually the same for Lincoln, IMHO.
The greatest in living memory? I would have to say Reagan. I don't agree with everything he did, but I do with a lot of it. Amazing when you think about it, how that "bumbling senile actor" was able to face down the Soviet Union, and ultimately create the conditions that forced its collapse.
Whenever I think of Reagan, I remember an incident that happened fairly early in his first term, when one of our carrier groups was skirting Qaddafi's (sp?) "line of death" in the Gulf off Lybia. Four Lybian jets came out to chase us off. The made the mistake of targeting our planes. Under the standing orders, our guys, if targeted, could shoot without have to wait to be fired on.
Splash four Migs!
This happened at 0 dark thirty CA time (Reagan was in the "Western White House" on one of his many (working) "vacations"). And his staff waited until after he got up, had breakfast and got to his morning briefing before breaking the news about shooting down the Lybian jets. About noon, Reagan gave a press conference (previously scheduled for something else, I don't recall just what) and the info about the jets was included.
I normally didn't watch those things, but that day I was home and the TV was on, so I happened to see this with my own eyes. During the Q&A one of the reporters asked about the time lag between the shoot down and Regan being informed of it, (a period of several hours) implying a failure on the part of Reagan's staff. Reagan paused for a moment, then gave one of the best off the cuff answers I have ever heard. He said "Well.....it wasn't our planes that got shot down!"
Right then and there, I decided that no matter what else this President might do or not do, when it came to our military, he had his priorities straight!
Having ended my brief illustrious military career because of what was happening in the military under Carter, Reagan gave me new hope. And he went on from there to ultimately do what no one in the West (except Kennedy) had even seriously tried to do since FDR got in bed with Stalin, face down, and ultimately end the Evil Empire of Soviet Communism. I always thought that was pretty impressive, even for an actor!
As to the single greatest president ever? I would have to say Washington. They offered to make him King! And he chose to be President! He set the standard that no one has yet fully lived up to. And he established the pattern of this country so well that even over 200 years later lesser men have not yet completely managed to destroy it.