Culls have already taken place in a number of areas to look at how a larger cull might work, and the answers were they didnt help and in some cases made it worse.
Having a cull isnt the same as the issue of digging being legal or illegal they are two different things. Also, no offence intended, but a few half arsed people going about digging wont help either. If a cull was to be effective it would have to be done properly with all the badgers in a huge area killed in a short period of time.
are you and ideation from the same school.? are you both school teachers.?