@engineer,
I don't really care about the stick measurements but here is my understanding of Hillary's role in this war:
In the administration there was a pro-intervention camp led by Hillary (who
is hawkish in foreign policy, try to find an American war she doesn't support) and Obama and Gates were opposed to it. At the time only a no-fly zone was being discussed (not the "no-drive" part) and it looked like there'd be no international consensus (China/Russia both looked likely to veto) and she led the call for it within the administration while Gates led the opposition to it.
However Hillary's state department achieved a diplomatic coup (together with the UK), in getting international consensus like the Arab League support that allowed for a resolution that was more extensive than the no-fly, and won support from Obama whose initial reticence gave way to her advocacy to intervene and the doors she opened. When it became clear that she could wrangle a very different resolution and get abstentions instead of vetoes she was able to win the internal debate on intervention.