HARTFORD- Other than the candidates, no one has more riding on this week's Connecticut Democratic Senate primary than MoveOn.org, a liberal organization at the edgy intersection of politics and the Internet. With victory for Ned Lamont, the group can claim a role in helping an anti-war challenger dump Sen. Joe Lieberman, who supports President Bush's policy in Iraq and has the backing of the Democratic establishment. A come-from-behind win for Lieberman would mark yet another setback for MoveOn in its parallel campaign _ to strengthen its credentials as a force to be heeded by Democrats as they seek congressional majorities...