Jeffords fit well with the liberal wing of the GOP; Lieberman fits well with the conservative, DLC wing of the Democratic Party.
When the debate is centered on protecting an endangered species in Georgia, Joe Lieberman votes to the left of Bill Nelson. But if there's a bill on increasing military aid to the nation of Georgia, Lieberman stands with John McCain. Since most of the Senate's business is focused on domestic affairs, kicking out Joe Lieberman is tantamount to expelling a moderate Democrat like Evan Bayh, which would normally be opposed by rational Democrats.
I can only assume you're being disingenuous. You must know that Lieberman would not be kicked out because he's a hawk, he'd be kicked out because he is actively campaigning against the Democratic Party.
This is it, please read this post again. The animosity for Lieberman has nothing to do with his views, it has to do with his constant trashing of and now active campaigning against Democrats.