What transfer case is in a 87 bronco with electric shift?

either a borgwarner 1354 or 1356

No, Borg Warner 1350 (a 1354 from a later Ranger/Explorer is a fairly common swap though)

sorry to say but you have bw 1356 that are not very good.
I got rid of mine and put an atlas in. good luck

wow three posts with crap info.

it's a 1356 borge worner. no i don't care how it's spelled. and it's the ONLY case that came in those trucks

it's used in one ton trucks. most live well past 300,000 miles. and unless you slam 5000 pounds of truck on them they are strong.

the electric motor will go out. find the mechanical linkage it bolts in in 10 minutes.

my buddy's pulling truck uses one. my truck has one. one tons, 38's low gears, rocks, skinny pedal. it works great and is free, has a better ratio than a 205, and doesn't cost more than the truck it's in.