The locker does not know what transmission is in front of it, it's YOUR driving technique that allows it to go smoothly through a corner, or all Herky jerky .
If your truck is going to spend most of its life on asphalt, then take the locker out of the rear, and lock up the front instead with whatever methodry you prefer .
If you have selectable lockouts on your front hubs you can weld, spool, or Detroit that front carrier and it will have zero effect on driveabilty until you engage the lockouts and pull the 4wd lever .
You will still have the same three wheel drive you have now, but with zero pavement princess issues .
Then you can put that factory 14 bolt Locker on eBay and sell it for 500 bucks like I did because they're better than the jewkon junk that's being sold meow made from chinee potmetal .