Putting aside the idea that a bark mitzvah is disrespectful to Jewish tradition, it also is yet another example of the penchant in American culture to anthropomorphize dogs. This is a misplacement of natural human maternal and paternal instincts, and it is not even good for dogs.
Dogs are not human beings, and they don’t care one bit about temporal milestones. What dog wants uncomfortable clothes put on it, and to have its routine disrupted by a bunch of boisterous strangers. Take the poor beast outside and throw sticks for it to chase!