I believe it is possible. I would start with TOT, then RnR. After that, the other two attractions are at the opposite end of the park, so you'll be walkin' a fair stretch.
Of those two, I would do ST first and Muppets last. Muppets, being a show versus an actual "ride" will take the most time to actually experience, whereas the other three all have multiple cars loading over and over again. You should be able to get the first three in fairly quickly then enjoy the sit down atmosphere of the Muppet Theatre to recover briefly from your commando morning.
Naturally I can't guarantee four in one hour, especially on a Saturday, but I think you have a fair chance.
Jon