The museum is not adjacent to Bletchley; Cambridge is about 40 miles away. You might be thinking of The National Museum of Computing which is on the Bletchley Park campus, but the Centre for Computing History is a different concern entirely.
There are also a couple of other computer museums open to the public in the UK, one in Swansea, the other in Leicester. I think there's also one in York which you can visit by appointment only.
I remember reading about Core Wars in the Scientific American article back in 84. To say it blew my mind was an understatement. I was 13, Tron had come out in 82, wow what time to start in computing. Anything seemed possible.
Are you going? I just wonder if it might be possible to send a delegate :-) I can not make it in person, but perhaps somebody could take my submission?
Not that I have anything ready yet, so I probably wouldn't come up with a great warrior in the short time. But it seems a shame to miss it.
I'll be there (I'm one of the organisers). If you send your program to the email on the tournament page (http://corewar.co.uk/spring2014.htm) before 23:59 GMT on 29th May I'll make sure it takes part. After that, I probably won't have net access for a couple of day.
The same offer applies to anyone else who missed the deadline.