No, as others have said, it won't fit.
B/E-body LBJs have a smaller bolt spacing than C-bodies, so the spindles won't bolt to your LBJ/steering arms.
The BJ pin-taper sizing is also smaller on those cars.
There were guys perhaps 10 years ago discussing the use of C-body discs on the smaller cars, but it required some machining work to get the parts to assemble.
Then there's the whole discussion of spindle height, alignment specs, and steering geometry.
But you wouldn't get far enough to worry about that with that kit.
I really wonder how well that fits all the years/carlines shown, as some 62-65 A-bodies can have 9" drum brakes, and I've read that those parts are really small, smaller than what is used on the small 10" drums. And we use 11" drums.
IMO your best bet right now, due to our C-body calipers being NLA, is the kit from ECI Hotrod Brakes. (but it's $925)
It has only an 11" rotor, but uses larger-piston GM D-52 calipers, and claims 15-25% more braking than later B-body brakes (which is in the kit you showed).
And it uses no bearing spacers or other claptrap.
Chrysler Disc Brake Kits