Er, from browsing through this thread, I think a lot of people don’t understand how incredibly complicated it is for two space vehicles to “hook up” in space. If a shuttle is going to dock with Alpha (ISS), it is going to need a very detailed orbital plan involving the trajectory to meet Alpha’s orbit, meet Alpha’s speed, then burn to catch up to it, burn to match it’s speed, then lots of careful manuevering burns to dock…
If another shuttle is going to launch up to it, NASA has to calculate EXACTLY where and how fast the shuttle will be at launch time, then do the same thing as above… only even more complex, because NASA already knows the figures for Alpha.
Neither case matters, since Columbia couldn’t dock with anything but the ground when it was supposed to have landed. I do not believe that anyone on Columbia was specially trained for space walking (4 of them were rookies and there was no walking planned on the flight), much less the incredibly complex walk that would be required to transfer from one shuttle to another - especially when the shuttle they originate from doesn’t have an arm, tethers, etc.
I’m sure NASA could get another shuttle launch-ready for a drastic emergency (probably a ISS disaster) within the two-week frame mentioned - this would involve dropping most of the safety checks in favor of the more vital ones, not equipping it for any payload (assuming at least one shuttle has the docking module), and assuming that they weren’t in reconstruction (as Columbia recently was). The crew would be astronauts who had previously done the type of mission they are looking at (say, docking with ISS). Their biggest problem may be shipping the fuel in time.
As for the shuttle in that situation… I think NASA would have to attempt re-entry. Come in over the Pacific aiming for Edwards AFB (NASA has the flight plans for this known), and bail as soon as possible. Getting to Alpha is out of the question, and even getting another shuttle there in time would be risking BOTH of the shuttles and their crews. The shuttle is lost anyway. A free spacewalk with untrained and unexperienced crew without tethers would be near-suicide. Look back at Apollo 13… they had no clue how extensive the damage was, and just had to go ahead with the re-entry. Obviously a different scenario, but NASA will risk it if they have to.
You can ask all kinds of similar scenarios that have always been asked about transportation… what if a plane depressurizes at 35,000 feet over the middle of the Pacific… what if a cruiser hits an ice berg in the Atlantic… what if the tire on your car explodes on the freeway…