I think think there are also some other simple explanations for the clones' acceptance that aren't usually brought up. Palpatine plotted to bring the clones army into the Republic from the start, and there's a powerful faction of senators who want the Republic to militarize (the very thing that Padme was trying to debate against in the beginning of the movie). He must've had some kind of end game for doing that out in the open, when the time was right. The way that Obi-Wan discovered the clones was a pure accident, and definitely not something that Palpatine had counted on happening. Perhaps some of those pro-military senators (paid off or otherwise subservient to Palpatine) would come out, and admit to using black budgets to fund the Republic's army. "Yeah, we did it. And it's a good thing that we did!" After all, the Kaminoans themselves tell Obi-Wan that the clone army had been ordered on behalf of the Senate. The Kaminoans were completely friendly to Obi-Wan, even telling him to report their work to the Jedi Council and come back again. Not the behavior of people who are conspiring against the Republic. Obi-Wan, a Jedi who can sense evil intentions and who is trained to rely on his Force-guided instincts, saw no ill intention from them. The fact that Jango Fett was fighting for the Separatists was definitely not a good thing when it came to passing off the conspiracy (I thought he was a fan-servicey addition myself). But it's not an automatic giveaway either, in light of the Kaminoans' proven loyalty. Jango had a history of being a mercenary, so it wasn't out of the question to think that he had simply betrayed the Kaminoans and sold out to the Separatists. Jango wasn't even the one who created and raised the clones either, his role basically boild down to "DNA doner." And, as you explained, war is a time for action, not questions. The Jedi pressed the clones into service at a minute's notice, because they absolutely had to. The second-to-last scene of the movie makes it clear that they're suspicious of someone involved with the Senate (again it keeps going back to the Senate), but they don't have a smoking gun and there's still a war to fight.