Good grief...folks have ran P tires on front and LT on the rear even when all tires were bias ply. Radials are no different. Now mixing bias and radials can create dangerous handling issues.
The P tire in front and LT on the rear will not create any issues if you run the P tires at max 44 or 51 psi which ever the case......and run the LT on the rear at 50-55 psi which is about all many 1/2 ton wheels are rated for.
I've used all season Passengers on the front and bigger/same size LT all terrain type tires on the rear on every 1/2 ton truck I've owned for winter use. No issues.
You may have to jocky PSI a bit find a psi best suited for intended use.