From what I've heard from the lawyers I've talked to, your grades in law school don't matter at all after your first job, but where you've worked and where you went to law school still matter.
As a 2L, I have to agree with this. If you are a BigLaw kind of guy, your law school has an impact on your partnership prospects.
In terms of the OPs hypo, I would have to say it is possible but not that likely. Kirkland has a great rep but NY firms like Skadden can afford to be extra picky and may not care.
In that this is the prelaw board, I will assume you are not in the top 10% and remind you how very stupid it is to anticipate your future class rank.
That being said, if you are top 10% at Kent after your 1L, you will be able to transfer to Chicago/Michigan/NW (if you are staying midwest) which will let you interview directly with Skadden/Whatever Vault 20 Sweatshop You Desire.