Well, as a dog owner (when I'm at home anyhow) what *REALLY* annoys me is that, when I choose to take my pooch for a walk up the local nature path, there is always some psycopath with it's offspring kicking around. Said psyco has decided that future dole-scrounger child needs to learn to ride a motorbike at the age of 8 and so sets the scumbag little brat off, HIGHLY ILLEGALLY on a public footpath. Unsurprisingly, this upsets my dog an awful lot, with a battered old 50cc bike with no silencer screaming past her.
There is also the nasty little kid who's grand parants live next door. It takes a massive amount of glee in winding my dog up by pelting her with stuff from it's back garden. THis is cruelty to animals, but when I threaten(after asking nicely MANY times) to remove said child's head from it's shoulders, I get a torrent of foul-mouthed abuse from grandpa.
When looking at bad dog owners, I would sight both types of people above, the ones that upset my pooch, as your a-typical bad dog owner. Surprisingly (or not), these are the people I would consider incapable of raising a child in a responsible fashion - what chance does a dog stand with these idiots???
I consider myself a responsible dog owner. I carry a scoop with me incase the dog does her business when we are out, which is very rarely as she is well trained. I keep her on the leash on public streets but have to let her go for a run in the park/local nature walk etc as she is a collie-cross and is tyhus part working dog. She NEEDS a good run every day. Please do not tar everyone with the same brush. Just because some children are utter animal-scum doesn't mean all kids are.
My advice is do what I do: Look at the problematic dog (or kid) and look at the owner. Gain satisfaction from knowing that you have got intelligence equal to their's squared.