Only in the very short term. In the longer term there would likely be many more US casualties because of (very literal) international fall out.

The US is only nominally a hyperpower. In practice its actions are always constrained by political and military consequences.

Which is why the calls for consensus and international support are more important than they seem to be. Even during the darkest and most psychotic days of King Bush it was very, very important for the US not to feel it was going it alone.

If European pols understood this more clearly, they'd realise just how much leverage they already have.