I know this view is widely shared, but I think it's mistaken. The Democratic Party as an institution(*) appears to be solidly behind the war -- this one, and the imminent next step into Iran. It's not because they're afraid of being seen as soft; it's because they're not soft.
Of course they know that the public is no longer for the war, and so they can profit from making opportunistic noises on the subject. But it's transparently fraudulent.
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(*) Some individual Democrats may really be against it, but they are dissenters within their own party if so.