They will surely do, all other neighbors have joined forces and have started to file noise-complaints about all the shooting. - There is no right to target-practice and the second amendment doesn't apply here.
@Chiriflor - Try to get your neighbors who have animals on your side and the next time...
That is probably the best post i have ever seen on the whole BYC, regarding (legal) issues with neighbors. I have a neighbor in a similar situation: City dweller bought the next parcel, is doin' target practice for the huntin' season the whole day, but complains about the ducks - yes, really...