Even though it's what the OP asked about specifically, keeping your stuff from getting stolen isn't the only (or even the best) reason to have a security system. When your partner comes home with your kids knowing that the house is locked down and the alarm hasn't been tripped is incredibly reassuring.

But what happens to all of the servers that fail to start up in time to process payroll? It's late? You pay overtime through the nose for th SysAdmins that have to come in and work 24 hour days to bring the machines online? Seriously, I'm not saying it's a bad idea but I would say that this scenario is probably more like 15 days on 15 days off. You have to build in time on the front end to make sure the machines are up and running in a stable configuration, and probably time on the back end to apply patches and perform metrics on the machines to make sure they are running properly for next month. I'm not sure that this would save anyone any money in the long run because of the load on their staff during spin-up.