As a UK design engineer, if I had to do it again I'd still not go into the bike market. I'd look into what is going to take me all round the world and choose something like the energy or transport industry to specialise in.
Mike who sometimes posts on here and has worked for a few bike places here an in the USA is also a bit of a wizard with carbon and as such i now believe he is working for the Manor motor sport / Virgin Racing F1 team. Brant did a lot of journalism before making design his full time job, Stevo did fish tank lights and I think Si was a rail contractor. so basically you can make your way in from any angle, plus why just limit your self to the UK, if you are good then it doesn't matter where the company is based.
A lot of the UK bike industry is rider / designer owned and those that are now big business want the previous design experience.
Specialized probably employ more people in the UK than most of the companies listed here.
which is why it makes me laugh when everyone is on about buying British