Yes! i've been wanting to do this for years! think of the help on trails!
solid state batteries are coming. that should double current capacity. more in the trailer could double that again.
in the short term you can use zip ties to hold it towards the passenger side at about the 2 or 3 oclock position. the link in my signature should have a writeup on a custom rod to connect to the axle.
my 88 makes so much crank case pressure that oil spews out of every orifice when it gets above 3k rpms. but I've still never experienced what you're seeing.
it's the weird contraption to the drivers side of the diff attached to the underside of the bed. has a swing arm that should be connected to the diff via a rod.