Don't get me wrong I like badgers - we even named one of our properties Badgers Crossing, because there was a badgers track going from one side of our property to the other.
The farmers nearby had TB in their cattle... One had to have 300 of his cattle slaughtered in 2009 because they 'reacted' to the TB test. A very emotive subject that has been going on for donkeys years. If the programmes on TV showed doe-eyed calves and their mothers being slaughtered instead of 'cuddly' black and white badger cubs playing 'while being fed a trail of peanuts!!!' maybe the public's thoughts might change.
These are not friendly cuddly creatures - they can be vicious if cornered, I have seen the remains of a lamb that a badger was reluctant to leave when disturbed by a friend checking her ewes late at night. Badgers have a nasty bite...
We have moved since then and now have Badger setts in surrounding fields. The farmer opposite has had to have many of his cattle slaughtered because they had TB. Just because he is a farmer doesn't mean he had no feeling for his cattle - it had taken years of selective breeding to get his herd as he wanted, some of his herd he'd had since calves and were 10 years old - all gone in moments.
I know it has not been 'proved' one way or the other about Badgers carrying TB and infecting cattle. Most 'wild' animals have preditors that cull the weakest which maintains the status quo of the species.
Unfortunately Badgers have NO wild preditors to control them and while I think they are entiled to live in peace like any animal, with out a natural enemy to contol them 'humans' have to become the preditor. It should only be carried out by a licenced person and not by all and sundry.
Sorry rant over - not sure what you can do about the Badgers wrecking your garden. maybe some Lion poo around the perimeter