Hi Marc,
I would like to do a bit of research to confirm, but, with some differences, the later gearbox will definitely fit.
The differences I do know are the rear transmission mounts (which if you are getting the used box from a wrecking yard, you might want to get the complete later crossmember assembly from the donor car), starter, speedometer drive and cable. The speedometer may have to be recalibrated and you need to make sure you also get the shifter mechanism and clutch activation arm complete as well. Those are not intercahangeable.
The catalogs show different flywheels for the 3- and 5-main bearing engines, but I do not believe they make a difference if the trans is changed (the clutch is the same for all years 62-80).
Same for the engine back (adapter) plate, but I will check all this as well. There's a minor difference in the body clearance at the starter that may take a few hits with a hammer to provide some additional room, but that is not major.
Also, by the time you recalibrate the speedo, replace all the mounts, clutch and other components (remember, the engine has to be removed to replace the trans), the conversion will be more costly than just the $200 for the used gearbox and then that box may be no better than your original after a short time. Keep in mind that even the newest original gearbox is over 28 years old now and the one you are considreing is 37 years old and though a 4-speed synchro, still won't have overdrive.
For all your effort and money, though much more costly, a better direction might be to consider a shop-rebuilt trans or converting to an OD trans in the deal. Cost will be around $1500-$2,000, depending on the OD gearbox price, but it adds to the usability of the car and it's overall value. With MGB's auctioning still at near $20,000 and trading on the streets for $10,000+ for a good example, a better trans is a good investment.
Let me check this out further and see how much work really need be done to convert this over and get back to you.
Best regards,
Art Isaacs