Since moving isn't an immediate solution even if you wanted to do that..
First of all I'd get your dog ignoring the noises and that is pretty easy in fact and can be achieved in a matter of days/a week or so.
Get a treat pouch, load it up with tiny tasty treats and ensure you are with your dog all the time for the next few days, ideally a week - every single time you hear a noise, chuck your dog a treat, or even a handful.
You want to build a solid association that these sounds, the bike revving, the idiots barking, doors slamming, whatever, it ALL means 'woo, sausage from the skies'.
By doing this you change your dogs emotional response to sounds from 'startle, argh!' to 'ooh nice!' and any barking in response should fade away to nothing very quickly.
After your intense week of this, you should be able to scale back a bit and reward just 'most' of the noises and then scale back again to just 'some' of the noises and from then on, just intermittently reward, and extra goodies for any particularly loud noises.
I sorted out all four of my dogs who were being routinely startled and wound up by idiots on trail bikes riding up and down the footpath behind my house - we went from dogs slamming into the fence yelling angrily to dogs coming to find me to tell me they'd heard a bike 'wheres my treat please Mum' in the course of a fortnight, and the angry barking and fence slamming actually stopped in around 3 days! With one dog you should find this is resolved much faster.
If you do still want to report your neighbours, I find that the local authority and the tax man are more interested in dog breeding than the RSPCA. However you may be better off just ignoring them, they will have more occupations in life to be getting on with than baiting you and will likely move on to bugging someone else if they get no rise out of you.