Here's an interview with Congresswoman Barbara Lee from Monday morning that better explains the basis for her peaceful resolution that she has introduced as an alternative to Bush's resolution that calls for military action.
(I transcribed this myself off of my TIVO.)

We can not move forward to take pre-emptive military action against any regime... This doctrine of pre-emption is a very dangerous doctrine. We've supported and continue to support a doctrine of deterrence, disarmament and prevention.

Interview with Congresswoman Barbara Lee, 9/23/02 8:23 AM, KTVU Channel 2 San Francisco

Barbara Lee:

Let me just say one thing: Nuclear weapons are pointed in all directions. We must seek peaceful resolutions to conflicts in the world. I think we need to understand right now what is the purpose of this resolution and the United States' Administration's policy. Is it regime change or is it to rid the world of weapons of mass destruction?

Everyone agrees the world would be a safer place without Saddam Hussein. However, does that justify us going in and using this new doctrine of pre-emption to say it's OK for China?

Ross McGowan:

If the Administration came to you and said: "Congresswoman Lee, we have hard evidence, and we show it to you, classified hard evidence that Sadam Hussein has nuclear weapons or is very close to developing those weapons, could you vote for military action against Iraq in that case?

Barbara Lee:

Inspections have worked in the past. During the 90's when the inspection team was in Iraq, it not only was an inspection team, but it took on the mission of a Search and Destroy mission. That's why the inspection process is very important. We can not move forward to take pre-emptive military action against any regime.

As I mentioned earlier, China and Taiwan. If China believes Taiwan is an imminent threat, with whatever evidence. Is it okay for China to nuke Taiwan? We have India and Pakistan. This doctrine of pre-emption is a very dangerous doctrine. We've supported and continue to support a doctrine of deterrence, disarmament and prevention.

Ross McGowan:

So what you're saying is to go through the U.N., as the U.N. is talking about a resolution right now. Although, over the weekend, already, Saddam Hussein is messing around with the unconditional treatment of the inspectors...unfettered...

Barbara Lee:

We must move forward and insist that the inspection process move in...

Ross McGowan:

But how do you do that if they don't know that there's a consequence at the end?

Barbara Lee:

You do that through world pressure. Through working with our allies to insist on that. I think the President was right in going to the United Nations. The pressure is on Sadam Hussein to do that. I believe we cannot use this military option because, first of all, thousands of young men's and women's lives are at risk. Our own young men and women. Thousands of Iraqi civilians' lives are at risk. Look at the cost: 100 to 200 billion dollars. What's going to happen to education and social security, health care, housing.

Ross McGowan:

So we know. Then your vote is against the (Bush's) resolution?

Barbara Lee:

I'm voting against the resolution. But let me just say that I've put forth my own resolution that I believe sets forth a track and a position that is reasonable.

Ross McGowan:

And you put through your resolution going through the united nations and letting them develop the resolution to go in and let the powers of the countries of the world determine what happens here?

Barbara Lee:

And for inspections. And I am saying that we have 26 members of Congress on that resolution.

Ross McGowan:

I think that most of the American people agree with you. They believe that maybe we should go into Iraq, but that first we should go through the U.N. and develop a resolution that will say "one more messing around on the inspections and military force will be used."

Barbara Lee:

I think the American people are right and I think that we need to stop all of this military...madness at this point. It is provocative. Look at the peace and security issues in the Middle East and all over the world. What is going on in India and Pakistan and China and Taiwan now? What are they believing as being the next phase or the next wave of U.S. Foreign Policy? Are they getting ready also to mount these resolutions and positions to use force? We have to be concerned about that.

Ross McGowan:

Let's say that the security council comes up with one resolution -- that you allow inspectors, if there are any problems with that, military force will take place. In other words, the security council votes for this, it has the agreement of the nations of the United Nations...would then you support military action?

Barbara Lee:

What I'm saying is that I want to see what the United Nations comes up with.

Ross McGowan:

I'm saying if they did...

Barbara Lee:

That's very hypothetical, and I'm not even concerned about "what ifs" at this point because this is a very dangerous and volatile situation and I believe that all of our efforts should be put forth to look at creative diplomacy and peaceful means to resolve this crisis. The military option is always there, but we have to be concerned as peace loving people, as people who want to see security throughout the world. We've got to be concerned about our first step. And that is what my resolution does, and I believe you'll hear more democrats talking about this.

Ross McGowan:

When do you think this is going to be voted on in the U.S. Congress?

Barbara Lee:

Perhaps this week, perhaps next week. Of course, it's very interesting that the session was cancelled for today. A session begins tomorrow night and then our sessions will cancel again on Friday. We have many appropriation bills that we need to move forward. We've got many issues that lay forth the unfinished business of this congress and of the agenda for this year.
For the life of me, the Republican's are really developing a strategy to try to box the Congress in to begin to pass this resolution very quickly.

Ross McGowan:

Before the election...

Barbara Lee:

Yeah. And I don't think it's a partisan issue. It's got to be non-partisan. These are issues of war and peace, life and death.