You choose to be part of the EU so you have to accept other EU nationals as if they were UK ones, this means that every EU citizen is allowed to live and work anywhere within the EU.
Moreover you should know that there are lots of UK pilots working elsewhere in Europe (we have quite a few of them in my company here in Italy).
What do i think about the issue?That it's a great opportunity for all of us europeans to work and live between ourselves.
One last thought about this: should everybody else kick out of their respective countries your fellow UK pilots (as you would probably like to see done in the UK)they would have nowhere to go back to but the UK...and you would see all these Cathay,Emirates,Air Europe and so on pilots taking the jobs you are referring to.
Think..........