If it was NBC, I know they'd find a way to destroy it. They've had gems (Boomtown, Studio 60) on their hands and utterly annihilated them.
If it was FOX, they'd order a 2nd season, force cast changes, halve the budget, and then wonder where all the viewers went (Human Target, anyone?) while they process the cancellation.
I'm happy that it's ABC. I'm not as familiar with them, so maybe my positivity is unfounded, but I think they'll give this show the support it needs to grow. Lost was a crazy premise, and it paid off for them. Hopefully Last Resort will do the same.