The top one is a coyote, the other not only might be a coy-dog, but he or she might be what we have been getting here in upstate NY. There was a study done a while back by a biologist where he proved that coyotes were breeding with what few red wolves we have left, and they are breeding what looks something like you have in that second pic. They are short, stocky, but really fast. I know we have been getting 50 and 60 pound coyotes now instead of 35 or 40 pounders. I talked to a taxidermist last year who had an 80 pound coyote brought in. They aren't wolves, they are flat out coyotes.
You're right about the coyote attacks, there were two last year on little kids in the town of Rye, NY outside of NYC. The way they are spreading, it doesn't amaze me that more people are getting attacked.
If I can find them I will post the pic of a single coyote dragging a 150 pound deer carcass uphill by itself. We had a deer whacked by a car in front of my house back in 09 and I had to put the doe out of its misery, and it was too banged up to really salvage so I hauled it behind the property and put up my trail cam, only a couple coyotes showed up, but one was massive.