There are municipalities that do not allow pit or 'bully breeds'. Just like some cities having tougher gun laws. Also, that graph is misleading, since it does not account for the percentage of dogs that are 'pits'. Also, some dogs are labeled 'pits' that are NOT. I know of one lady that had a DNA test on her lab cross, ZERO % of pit blood, but the dog catcher in her little back bayou Louisiana town, has told them that he doesn't care. HE knows a pit and Jake is a pit, NO matter what any one else says, including science.
I see no proposal to REGISTER the guns folks already own. and NONE to take your guns.
So you don't have a problem with mentally ill folks owning guns? It seems that the vet here in Texas would have been better off without one. BTW, he is on suicide watch.
One of the big problems with the mental health background checks is that mental health problems come in many varieties and they would not all interfere with owning a gun. That one needs work, a LOT of work.