Okay, so Palpatine kills Sassy, Kit, and Agen without blinking, thus ensuring that fashion sense, grins, and the ability to kinda sorta pass for Eeth Koth are gone from the Jedi Council forever.
Then he's getting his butt kicked by Mace and Anakin walks in. Yadda yadda yadda, Mace is killed, Palpatine turns into a wretched mess of bad makeup effects, Anakin becomes Vader.
Soooooo. . . .
Immediately afterwards, Palpatine tells Anakin that he must kill everyone in the Temple and that he himself will deal with the other Jedi. And the he tells Anakin to go to the Mustafar system, where he must kill the Separatist leaders.
Uhhhh. . . . ?
The entire "turning to evil" thing in the film hinges upon Anakin's loyalty to the Jedi vs his loyalty to Palpatine and the Republic. He's just been told that the Jedi have betrayed the Republic and is all gung-ho on killing them off.
When Palpatine gives away the fact that he knows far more about the Separatists than he's been letting on, why doesn't Anakin stop and say, "Dude, you're full of crap. I'm just going to take my chances standing trial for cutting Mace in two." Or even just, "Uh, Chancellor, how the hell do you know that?"
If nothing else, when Nute is begging for his life on Mustafar, why doesn't Anakin say, "Woah, man, hold up a second. I'm still going to kill you because you're a d****bag, but what's all this jibber-jabber about you working for Sidious?"