All right, this is my area of specialty. I'm an Electrical/Environmental Systems Technician, AFSC 2A656, in the US Air Force. Once aircraft go above ~30,000 ft (the exact altitude depends on the specific aircraft) they switch into a differential pressurization mode where the cabin pressure is maintained at a fixed amount above the atmospheric pressure. An F-16 for example maintains ~5 PSI differential above atmospheric pressure. A B-52 in combat mode maintains a 4.8 PSI differential, in standard mode it would be about 7 PSI if I remember correctly. In fact for the F-16 doing a pressurization check on the ground, you are NEVER to exceed a 5.5 PSI differential. I'm going to assume that a B-1 uses a similar pressurization scheme and is maintaining ~5 PSI differential as I have not worked on a B-1 before.
Now at sea level atmospheric pressure is about 15 PSI, at 30,000 ft the pressure is around 5 PSI. So an aircraft maintaining a 5 PSI differential would have a cabin pressure of 10 PSI. Now according to your story a B1 in flight is suddenly whisked away to the vacuum of space. A few things are going to happen, first the engines will stall due to lack of air. This will stop flow of air into the cabin. Now check valves should maintain cabin pressure though and assuming the internal bellows of the cabin pressure regulators can withstand the pressure difference they will try to re-establish that 5 PSI differential. However the regulators may not be able to react fast enough to the change and hull may well buckle and rupture. If the hull does not rupture and the regulators can compensate fast enough than the cabin will be at about 5 PSI and the aircrew will definitely feel colder, due to the depressurization, but if they have their oxygen masks on already they may well survive until their oxygen is depleted. However that is only the case if they are using LOX (I doubt a bomber would use GOX as it is bulky to store the cylinders and assuming the LOX converter survives the pressure change as well.) B-1's can use MSOGS (Molecular Sieve Oxygen Generating System) as well which uses bleed air from the engine and absorbs nitrogen from that air and delivers it to the crew. Since I said earlier that the engines would have stalled the crew of an MSOGS equipped B-1 is likely going to suffer a quick death from anoxia.