Hi Paul,
If I found any animal going after my stock - I no longer run sheep, just cattle and horses - I would shoot them if I caught them in the act. [They can only be shot if in the act of going after stock; a farmer cannot wait for the ranger or Police to come while his stock is being maimed.] However the local council ranger recommended to me six months ago that pictures be taken before shooting [if at all possible] to prove any case, though the legislation about shooting marauding dogs is unconditional. However, as you say, the 'vocal minority' who come to live in the country from suburbia and can often be described as Bambi-lovers would make a fuss if they suddenly found the ranger on their doorstep with the body of their beloved and supposedly harmless Fido and the ranger hit them with severe penalties and also explained that farmers are due compensation for their losses to marauding dogs. In fact it is almost guaranteed that when people come to live in rural areas from suburbia for the first time they will simply let their dogs go because, as one moron said to me years ago after his dog charged my horse and it bolted under a low branch causing me to come off, "I can do any thing I want in the country; I don't have to keep my dog locked up!" The ranger, an ex-cop, took him apart.
Jim