Biden's Iraq war vote not so hard and fast. To evaluate it, we need some background

[mr_lebowski]

57. Hillary is the one CLOSEST to have voted outright 'for war'

And I think a lot it had to do with the claims that Bill had made as President about Saddam, the missile strikes, Wag The Dog, the sanctions that killed thousands, etc.

But this (missing in your summary) section of her Senate vote speech makes fairly clear what she was hoping for:

So, Mr. President, the question is how do we do our best to both defuse the real threat that Saddam Hussein poses to his people, to the region, including Israel, to the United States, to the world, and at the same time, work to maximize our international support and strengthen the United Nations?

While there is no perfect approach to this thorny dilemma, and while people of good faith and high intelligence can reach diametrically opposed conclusions, I believe the best course is to go to the UN for a strong resolution that scraps the 1998 restrictions on inspections and calls for complete, unlimited inspections with cooperation expected and demanded from Iraq. I know that the Administration wants more, including an explicit authorization to use force, but we may not be able to secure that now, perhaps even later. But if we get a clear requirement for unfettered inspections, I believe the authority to use force to enforce that mandate is inherent in the original 1991 UN resolution, as President Clinton recognized when he launched Operation Desert Fox in 1998.

If we get the resolution that President Bush seeks, and if Saddam complies, disarmament can proceed and the threat can be eliminated. Regime change will, of course, take longer but we must still work for it, nurturing all reasonable forces of opposition.

If we get the resolution and Saddam does not comply, then we can attack him with far more support and legitimacy than we would have otherwise.

<snip>

President Bush's speech in Cincinnati and the changes in policy that have come forth since the Administration began broaching this issue some weeks ago have made my vote easier. Even though the resolution before the Senate is not as strong as I would like in requiring the diplomatic route first and placing highest priority on a simple, clear requirement for unlimited inspections, I will take the President at his word that he will try hard to pass a UN resolution and will seek to avoid war, if at all possible.

Because bipartisan support for this resolution makes success in the United Nations more likely, and therefore, war less likely, and because a good faith effort by the United States, even if it fails, will bring more allies and legitimacy to our cause, I have concluded, after careful and serious consideration, that a vote for the resolution best serves the security of our nation. If we were to defeat this resolution or pass it with only a few Democrats, I am concerned that those who want to pretend this problem will go way with delay will oppose any UN resolution calling for unrestricted inspections.

IIRC, the Cincinnati Speech referred to is one where Bush very earnestly claimed that he wanted inspectors in place as opposed to going to war, which happened shortly before the vote.