I don't think this is fair. As I noted in a previous post, I went through a similar situation and there was one lady living in the house who I used to interact with as they always had parcels delivered to us. She seemed alright, made sweet comments about our young kids and if they were permanent residents I might have considered striking up some sort of cordial relationship through her so that I could at least speak to her about any issues (before going down the 'move' route).
Like I said before, I was going to suggest going down the befriending route but stopped short as the OP made out that her neighbours are totally belligerent and have no intention of being nice. But for someone to suggest it is not unreasonable - not every family is the same and not everyone in the family might be a total nightmare.
OP, I think at the end of the day you're sort of resigned to being stuck for the following reasons:
1 There are multiple issues at play around noise, drugs, loitering, animal abuse etc. These are dealt with by multiple entities (police, NSPCA, local council), who as many people have been at pains to say, are unlikely to resolve the issues. Even if you could get one of the problems (e.g. drugs) sorted, you've still got the animal abuse and noise to deal with along with the fact that the neighbours may double down on their efforts to be a nuisance. Even with solid perseverance this would take years to sort out and the chances of this happening are low.
As other people have noted, if you go through the police or council, this is something you will have to declare when you come to sell the house so you'd be creating potential problems selling the house and during this time, you're still having to put up with the nuisance. Therefore one option is to move.
2 You don't seem willing to move. You've said your own family are happy where you are and are actually annoyed with the amount you bring it up. How bad is the situation when they are there? What level of change from the neighbours are you willing to accept? If you and the family don't want to move then the only other option would be to befriend the neighbours in the hope that in time, either they improve their behaviour or you get comfortable enough to politely ask them to refrain from a few things.
3 You aren't able to befriend them either because they are just awful people or you aren't willing to given their previous behaviour. So essentially you are left in the same position as where you started. Even if you did befriend them, there is no guarantee things would improve.
The only option that guarantees you remove yourself completely from this situation is to move. Countless people have said to move, including many who have gone through a similar situation to you. The advice is overwhelming - I'd advise you to speak to your husband and kids.