Actually you are right it is a bit lazy. Ok so the first question is, are they multi-homed (as in multiple datacenters)? If not, why not? Because that should be the first step to take. We could talk about all the ways in which you can build redundancy and automated recovery into a cluster of machines in a single datacenter but let me tell you the obvious point that the datacenter is a single point of failure. Rackspace are an extremely solid hosting provider, we used them in my old company for 5 years but even they can suffer fiber cuts, power cuts, UPS's dying, generators not working, someone performing network maintenance and crapping out the routing for the entire dc.
My first recommendation would be setting up a warm-standby or even a hot-standby if possible in another datacenter. It all comes down to state, meaning the data/repos. They are currently using drbd for block level replication of disks in their file servers, this can be done over wan using something like drbd proxy. Another option is to write something in house which replicates write requests to git repos hosted elsewhere. They wrote a collection of services to access git repos on the file servers via rpc, its entirely plausible to extend this. If they are using mysql anywhere thats a pretty simple task for master-slave replication or semi-sync replication in mysql 5.5. Redis also supports replication.
I'm sort of hinting at high availability with read/write but starting out with a read-only solution hosted in another datacenter on the order of 60-120 secs out of sync is not impossible. I think we would all benefit from that kind of continuity right?
Replicate your data to a secondary site, keep it in read-only mode, set low ttl's in dns. Take it a step further and start looking at globally distributed file systems if you are feeling adventurous.