My Wife and I have somewhat similar problem, without the pooping int he house. The new neighbors in the condo next to ours keeps their pit bull on the back patio almost all the time. Winny and the Pit have played before, she is pretty well behaved and non aggressive, a little rough, but no major concern. However, now Winny and the Pit want to play all the time, and the pit has practically dug a hole under the fence and tries with all its will to get out and play with Winny when I walk him to go poop. Its a major distraction because Winny wants to go over to the fence and play. We finally had to move Winston to a new area to do his business, I have to lure him with treats to get him in this new area, but because he has been using the old area since he was pup, he still heads over there first thing in the morning.