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I think it's very reasonable to oppose the war and still stupport the troops. While I imagine I disagree with most of the troops about the the war, it doesn't mean I'm wishing them ill will. I rather be wrong than have more suffering to prove my point. There's nothing disingenuous about that.
It's like having a disagreement with a friend, you can disagree with them a still support them as person. Especially with troops, they are but cogs in the machine. They have to go where the Government tells them to go given the chain of command.