Medea Benjamin is 100% behind Kucinich and doesn't even believe the Greens should run a Presidential candidate this time in order to put their weight behind Kucinich but other Green Party officials, while very sympathetic to Kucinich, don't want to lose the momentum of their Party's growth.
They also see the evil, not as Kucinich, but as the 2-party system that offers people little choice and little choice for slow change at that.
Here's an excerpt from a Common Dreams' article that explains their perspective and I can't say I disagree from their tactical point of view.
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Published on Tuesday, May 27, 2003 by the Washington Post
Greens Consider Standing Behind Democrats in '04
by Brian Faler
Rep. Dennis J. Kucinich (Ohio), one of the most liberal Democratic candidates, appears to have gained the most traction among the Greens. But he is considered one of his party's longest long shots -- and it is uncertain whether the Green Party would pass on its own presidential race to support someone with such a slim chance of winning.
The prevailing opinion, among the officials, is that they should run a candidate. For all their complaints with the Bush administration, many remain almost as disenchanted with the Democratic Party, complaining that it is too weak-kneed to adequately oppose the president's agenda. "We have a lot of problems with
, too, just as much as we do with the Republicans," said Tom Sevigny, another party chairman. "It's not just Bush."
Then there are the more practical concerns: The party could lose its ballot status in some states if it doesn't run a presidential candidate. The public might assume the Greens' time has come and gone, without someone at the top of their ticket, and it could hurt Green candidates running for other offices.
"There's a lot of people who look at the pressure, from the Democratic Party, in particular, for the Greens not to run a candidate as being a sort of invitation to commit suicide on the Democratic Party's behalf," said co-chairman Ben Manski. "That's not something that a lot of people have a strong inclination to do."
http://www.commondreams.org/headlines03/0527-13.htm
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And then they had that meeting/vote and decided to go ahead and run a candidate but that is the official Green Party position. I work on the Kucinich campaign for the Bay Area and about a third of the people working with me are Greens. If you do a google on Kucinich and Greens you'll find a LOT of support. Peace