The general election obviously is not going to be interesting, nor part of any larger theme in American politics (other than that Gov and Lt Gov are the only statewide offices the people of Conn are comfortable electing Republicans to now and for the forseeable future).
It's the primary that has potential to tell us something about the role of ideology of the Democratic Party and anything else you want to make of it.
And to those people who say that Lieberman is important to the party, I would ask why the people of Conn should be burdened with him. Politics is local. Some swing state, maybe, would be well served to house Joe, but for the same reason Oklahoma shouldn't feel bad about not electing "moderate" Republicans over extremists -- it is a task better left to some place like N.H., or R.I, or Maine. Pennsylvania, a moderate state on the balance, will likewise get a "centrist" Dem as its Senator. But since a Senator represents the state to the nation, rather than acting as an agent of the nation working in the state, Conn should expect someone in line with the state's values, not the nation's.
I think you're ignoring the fact that regardless of his ideology (Which is rather center-left, really. His only right leaning issue is that he is a defense hawk.), Joe Lieberman is of the upmost competency and maintains an honorably high level of integrity. He is an asset to the Senate and to this nation. We need someone like that who is willing to work with opposites sides and forge compromises. To replace a great statesman like that with some hack nobody because he's purist on ideology would be an utter shame.