Having power and/or rack space is not the same as having servers, switches, etc. anyway.
Hopefully it will not be down that long. We'll let you know more when we know more.
FogBugz is more of a problem. Some days the "Resolve" button is my only source of job satisfaction.
I'm not trying to 2nd guess your ops team, but the whole point in having off-site backups is to facilitate a your RTO plan in case you lose your primary DC with no warning. I guess I'd be surprised if you don't have a < 24 hour RTO plan in place. With how quickly you can get VMs and even dedicated server provisioned by many hosting providers (minutes to a couple hours), the idea of physically moving servers off-site into a new racks, with new networking, etc... seems kinda nutty...
Moving the hard drives could be an option, and I believe it is sometimes done, but it assumes there are empty boxes on the other end waiting to receive the hard drives in a similar configuration to how the hard drives came. Also there's separate issues depending how many drives they are dealing with, and what redundancy is involved. If it's very few, then you might as well move the server outright. If it's very many, then there's extra human overhead (and room for error) in keeping the drives together.