From Kickstarter's Defining Your Project page:
"What are you raising funds to do? Having a focused and well-defined project with a clear beginning and end is vital. For example: recording a new album is a finite project — the project finishes when the band releases the album — but launching a music career is not. There is no end, just an ongoing effort. Kickstarter is open only to finite projects."
To me, finite projects (in spirit if not in letter) means that the Kickstarter project's completion means the completion of primary work. Which is to say, all work would be complete save for bugfixes and other patches, but you should have a reasonably shippable product at the end of one funding drive.
There's also the question of what you would deliver to people who participated in the first round should the second fall prey to unforeseen circumstances. If you say "Donors of $15 will get a copy of my game, signed by me" in your first round, but find before the second round is completed that you won't be able to finish the game, what do you tell those people whose money is already spent?
In summary, whether or not it goes against the guidelines of Kickstarter (which I believe it does), it seems like an attempt to game the system. If you want to use Kickstarter as a resource, do the work, nail down a budget to total completion/polish/master, and start a project for that much, even if it's $10k instead of $2k.