Some people go as far back as Roosevelt. Why blame a party anyways? It's not as if the Republicans have been in power the whole time.
I'm a lapsed anarchist and a partisan Democrat. I like to blame both parties but want mine to win back power so we can do our usual job of getting a few important things done while we busily decide who is going to shoot who in the foot so we don't have all that responsibility for too long. Plus, I think we're generally readier to acknowledge our warts and call a fellow partisan "fool" if that's what we believe. What seems to have taken down the modern national GOP is a severe case of groupthink (as opposed to our moderate one). They have made the very act of disagreeing with authority just cause to question someone's patriotism. That's not good for hashing out complicated problems.
As far as history and the current crisis goes, the Great Depression and the New Deal are definitly a major node, but we had a long history of panics before that, and both taxing and the monetary system were big fights during our founding (the Articles were *such* a mess). Which is a backwards way of saying I think it better to look at specific laws and policies than to find a president to blame.
One of the things I hope for most and expect least out of an Obama presidency is a national confrontation with our excessive expectations of the office. It's true that to an extent the stock markets are a set of mood rings for the rich. But it's also true that too many of us too often try to use presidents as puffed-up heroes and villains with oversimplified stories that help us avoid the hard work of understanding and addressing policy problems. They're only people in the end. George Washington understood that deeply, despite his great love of being the belle of the ball--he shocked his fellows by choosing "Mister" as his salutation and actually deigning to shake people's hands at those parties he so loved.
p.s. Re Nixon: a number of "true conservatives" probably hate him more than you might think--on some scales, he was one of the most "liberal" presidents of the last 50 years. He experimented with wage and price controls, supported methadone clinics, and went to Beijing. Me, I'm still bitter about those hearings interrupting my Saturday morning cartoons *forever* and Nixon ending up with a pardon. Robbing a kid of cartoons just because you can't hire top-quality burglars and have an unfortunate fetish for recording audio in your office--harrumph.