How to deal with problematic neighbors dog?

The best thing for dogs off lead in public spaces is your own pitbull. I have two and whenever out walking people seem to always relead and call back their friendly dogs. If you where to adopt Carmine here: https://www.dogstrust.ie/rehoming/dogs/dog/filters/~~giant~~~~n~/7130350/carmine I guarantee your days of random dogs rushing up to you would be over. You're welcome.

Hold on, how is the neighbour suddenly a toerag? Just because the curtain twitchers cannot figure out their comings and goings and they are young? They've done nothing to the OP and the dog doesn't even bark.

Well, the OP (the only person who has actually encountered these people) says:

less than desirable and her partner portrays himself as a toughman

so there's that, and they a) have a pitbull and b) have a pitbull in the same house as toddler and a baby

Yeah, I'm happy to say they're not the sort of people you want to live beside. Or more precisely, not the sort of people I want to live beside, given my aversion to toe-rags with dangerous dogs.

OP didn't encounter his neighbours as far as I can read. It looks like OP is more of this kind of business..

And for your a) and b) that's non of your business, nor is OP's.

As other posters suggested, if dog will be wandering lose on the street, call the warden. If dog is being kept secure around the property no issue whatsoever there.

And so far OP is just being nosey IMO

All you can do is build up the wall to the maximum height allowed and I’d also put wire with a bend back on top so if the dog does try to jump it, it’ll fall back on itself. Once you’ve made every effort to ensure the dangerous dog can’t get on to your property, there’s little else you can do.