Part of why Sanzo survives is that Kouryuu was being hunted for the Sutra before Order 66. So he already had experience avoiding beings intent on savage mayhem. It will still be tricky, as the youkai were trying to dodge regular attention and the Empire definitely is not.
Gojyo: “So, what – it’s not just the alien crazies anymore, we have to dodge a whole Empire?”
Hakkai looks innocent. Mostly. “Is this is a surprise?”
Gojyo: Eyes Sanzo, robes and all. “Nope. Not one bit.”
Sanzo would be trying to figure out what Order 66 was, and who planted it in the clones’ heads. But… I can’t see him going after Palpatine directly. That way lies painful and fruitless death. At least, without a lot of planning.
He’d also be dealing with a bit of identity shock. Kouryuu may have been the worst Jedi ever, but he was a Jedi. Sanzo… is not.
Along with trying to deal with that (and Hakkai’s far too cheerful acceptance of the new situation), Sanzo would be trying to figure out what might give any Jedi survivors a fighting chance. “Something that we can do without getting too close, given they’d freak out and think we’re Sith. Which we are not.”
Gojyo: “We’re not?”
Sanzo (still brandishing fan): “Do I have to go over the ‘Shadow, not Dark’ bit with you again? I thought we settled this with Hakkai!”
Goku: “Aw, don’t give him a hard time about it. Keeping it all straight’s hard. He just needs to know who to hit, anyway.”
Gojyo: (Glaring at a certain monkey.) “I’m not as stupid as you are, monkey!”
…Cue “Monkey”/ “Kappa” argument. Again.
Hakkai: “My, my. Well, at least it keeps them from worrying?”
Sanzo (Facepalms): “By this time I can recite it in my sleep….”