Might be some cause and effect there. Using mouse for views might be good for filming or sight seeing but IMO it's far to sluggish to track a single bandit in a fight.
Add a friend or two and those pesky enemies and you basically put a shoot me sign on your back.
The answer- you have 2- 8 way hat switches, one on each controller. They are designed to be used for views.
Don't try to reinvent the wheel, use what you have. Even if you happen to have two extra arms and hands your hat switches are your best bet.
My point of view, that's a logical answer. According to yours I still probably haven't answered your question.