yes the same axles and backing plates will work as long as the length is the same.
Hmmm, 4.10s, no slicks, mild 360, fmvb...
Well i want to say that it'll hold up but depending on your meaning of "mild" it might not. I'd say if it has over 350ft-lbs then probably not.
Make sure that thats a 9inch in that mustang. To find a 65-66 mustang with a 9 is pretty rare. They only put them in hipo 289s and sheblbys. It its not, check out early broncos. They all came with 9 inch rears, its a bit narrower but that'll allow you to run wider tires. The closest thing to a direct fit in my book.