I think we need a sensible dictator (well- we have a nutty one already). This is a small and highly managed island - there isn't much that is truly "wild" about it. It is an ecological fact that most life forms exist on a pyramidal basis - lots of microbes/plants etc at the bottom and a few end predators at the top. Man, badgers and birds of prey are currently examples of the end of chain predators - the latter two now being protected from the former as a "predator".
If the top of the chain multiplies for some reason out of control, then the balance of the pyramid is distorted and the predator runs out of its natural food to the detriment of all.
You wouldn't put 100 sheep willingly on one acre of grass, why is it thought acceptable to allow badgers to multiply at the expense of other wildlife. Someone needs to come up with a suitable figure of what is "sustainable" (dreadful word!) in terms of the badger population, irrespective of TB, and then manage the problem. When we didn't have such a high density of badgers, we didn't have TB running out of control. There are many other complex factors of course, but reducing the density does help "dilute" the problem - and helps the regeneration of other wildlife.
If you broaden the argument a stage further - if you don't discourage that other end of chain mammal i.e.Man, from multiplying in this country - there won't be any land left for cows or badgers - so you will have solved the Bovine TB problem at a stroke. But boy will you have created a few more difficulties!!