Got into fight because my dog pissed on sidewalk

So into a major argument this weekend because my dog pissed in front of someone’s house. Here’s what happened: I was walking my (large) dog as I always do in my neighborhood in the north slope. I have one of those really big goofy friendly dogs that never causes any problems and most people stop and pet him on a daily basis. I try to be a good dog owner and ALWAYS pick up after my dog. Well, a few days back I was walking my dog and he stopped in front of a house that had a lot of vegetation growing out of the front fence…you know, the kind that hasn’t been maintained much and shrubs are taking over half the sidewalk. Anyway, my dog starts to pee on the shrubs (btw, I usually try to always get him to pee on the trees away from the house, but in this case, one he starts, it’s hard to pull him away) and the owner comes out and starts yelling at me. I usually try to avoid arguments at all costs, so apologized and started walking away. As I was walking away, he kept yelling obscenities and then said, “Next time I see you, I’m going to fucking kill your dog”. This is when I got upset and confronted the man and told him that it was completely unnecessary to make some stupid statements and that I had already apologized so he should have let it go. He went on yelling and came really close to hitting me, when a passerby broke up the argument.

Here’s my question: Are there any laws against my dog peeing on the streets (we were clearly on the sidewalk and not trespassing by any means)? Has any one else ever experienced anything like this before? Was I wrong in arguing back with this guy?