Not to be the wet blanket but I kind of have a problem comparing WWII to Star Wars, at least when we're talking about a serious film/series like Band of Brothers, which is as we all know based on actual events and people. Not saying something heavily influenced by it wouldn't be cool, but treating it with the same weight as Band of Brothers, I don't think so.
And the Clones were definitely brainwashed to obey something like 66. That would simply not work with a professional army. You just can't go and execute your generals, no matter what your commander-in-chief says. Even if that was a "lawful order" in the Star Wars universe (which I doubt), it still wouldn't work on that kind of scale with real people. That was the whole reason Palpatine needed to have clones, rather than a regular professional or conscript army.
Again, using Band of Brothers as a comparison shouldn't be an issue unless you actually served with the 101 at the Bulge, which if you did, I commend you on your typing skills and computer knowledge.
As for calling the clones brainwashed, let's take it a step further because you're calling them that for following orders and that statement is a little offensive to anyone who's actually been a soldier and seems more from standpoint of ignorance than any solid foundation. I could counter argue that society as a hole is brainwashed and the soldiers are the only ones who really see life how it is outside of this BS comfortzone of a country. 99.9% of people believe what the media tells them vs. the truth. I saw that with the Georgia conflict. Most civilians are nothing more than brainwashed sheep who would sooner believe what they see and read than face the truth.
How do you think our soldiers felt abandoning Afghanistan TWICE? The first time actually created the enemy we fought the second time. Then bailing on them the second time to take a country that very well could've (and most likely would have) aided in the hunt for Osama. Basically, imagine eliminating the enemy and then handing the people the craptastic blackhole that's left of their country and tell them, "Smoke up Johnny!" and expect them to pick up the reigns of a beast they don't know how to operate.
Many soldiers also hate the order of "leave him, we can't take him" in regards to a fallen team member. But guess what, it happens all the time and not everybody comes home. Most soldiers understand that whether or not they like the order, it's given for a reason that isn't theirs to understand. But in most cases, it's a crucial part to a bigger picture that they cannot see.
Now for Star Wars, Palpatine could've had droids just as easily who don't question orders. In the long run, it would have been considerably cheaper too. And to be honest, after reading Traviss' novels, I actually feel some disdain for the Jedi by the end as it definitely paints them in a different perspective than the arrogant snobs of the movies. While I never found myself agreeing with Palpatine, after the books one had to agree with the extent to which Jango went to preserve his race and exact that little bit of needed revenge.