We're island people. Islands, especially over populated ones, are not good places for successful carnivore survival. They end up so reduced in numbers that it becomes a genetic bottleneck and an incredibly inbred group.
That's before any issues of what they're actually going to hunt, where they're going to hunt, what's (who most likely) is going to hunt them
how compensation will work for any farm animals that become prey…….and on our busy islands soon or later someone's going to blame them for something.
http://en.wikipedia.org/wiki/Eurasian_lynx
for an idea of the normal range…that's not easy here, not to avoid people and farm animals.
If the land bridges were still there, then perhaps. But they're not, and they haven't been for 16,000 years in Ireland's case or 6,000 years in Britain's. The lynx never did make it to Ireland, and many species didn't ever make it to Britain either before the land bridge was inundated.
So, Great Britain was the outermost edge of their range, and as far as we know they were extinct by the end of the Roman period.
Why the hang do we want to bring them back ?
To take over culling deer ? Get a grip, they'll take anything that they think they can take down, and by all accounts that varies from birds to goats (not a lot of them wild in the UK, but there's this woolly speedbump of a thing called a Sheep, and there are millions of those) from rabbits to deer. The deer are prolific, but so are other beasts. You can't exactly whack a lynx on the nose with the rolled up newspaper and say, "No!", in a firm and determined voice….well not an expect it to pay heed to the No eating sheep edict
A few lynx aren't going to make much of an impression on the 60,000 too many deer on the hills. One could argue that a few lynx aren't going to make much of an impression anything too though.
I think it's the genetic bottleneck that the really bad idea, and once here, that there's no way off for them.
M