No. The best Marvel analogue to Kingdom Come would be the Earth X series. Civil War was more to shake up the status quo and kill people you didn't think could be killed (even if everyone knew they'd be back because Marvel). And don't worry too much about the comics storyline. That's only barely inspiring the film, as the set-up is entirely different. No mutants, no secret identities, no Fantastic Four. The instigating factor will have a different slant and different person/people responsible, so the government reaction will have a different thrust and impact than in the comics, and the people picking sides will not necessarily follow the same lines as in the comics.
--Jonah