Something is not consistent here.
The American spec 1980 Corona had a T series (6.7") diff, not an 8.0" diff.
http://members.iinet.net.au/~stepho/...tm#corona134pr
An 8.0" diff would be the G series diff from the early Hilux (aka Pick-up) or Landcruiser.
The measurement is taken across the widest part of the crown wheel.
Possibly your father measured the bolt pattern on the carrier by mistake.
You can verify which size diff he originally had by looking on the build plate in the engine bay.
The likely Celica donors also had T series diffs.
You can find which Toyota vehicles had which size and ratio diffs by looking here:
http://members.iinet.net.au/~stepho/diff.htm
http://members.iinet.net.au/~stepho/celprod.htm
The T series diff is only reliable up to about 150 HP.
When you get above 200 HP it is almost guaranteed to break.
Between 150HP and 200HP it will depend on your driving style.
The Hilux or Landcruiser rear axle is a better choice of axle for you.
The G series diff is almost unbreakable, has many ratios available and LSD is easy to find.
A Landcruiser rear axle needs to be shortened a bit on one side (it's both long and asymmetric).
A mid 1980's skyline rear axle is also a good choice but it needs to be shortened a bit on one side (it's both long and asymmetric) and has the advantage of disc brakes.
All these axles have the same 114.3mm x 4 stud pattern for bolting up your rims.
- Stepho