Iraq Resolutions: A Question

So the House passed a non-binding resolution against escalation, and today they debate it in the Senate.

In the end, they managed to peel of 17 GOP representatives. And that has me wondering: if it were a choice between narrowly passing a binding resolution along straight party lines, and passing a non-binding resolution with some non-trivial number of Republican votes, which would be the better outcome?

I'm not sure I know the answer, and I'm curious to see what y'all think.

[That's all, folks]