[Fitzcarraldo]

How do mate a Progess with an orbiter?

You don't. You maneuver it in towards the shuttle nose-first and clamp the shuttle cargo bay doors on part of it, then secure it with whatever means available. It would probably have to be modified to allow access by astronauts. I assume a working airlock was on Columbia.

[John Jamieson]

Yeah a Leatherman ought to do it.

[SMEDLEYBUTLER]

Just use duct tape, bungee cords, bailing wire, super glue, shoe leather, bubblegum and rubber bands and equip every shuttle with several MMUs so the whole crew can go outside and do a "walk" around. Use the cargo bay doors like a big lobster claw. That's the ticket. Better yet, just make McGyver a member of every crew.