To remove the unit from the Mini....
This is after all the "clutter has been removed, radiator, carb, manifold starter ..... as per normal engine removal...
1) lift engine and swing across to the left hand side (left and right are always determined from the drivers seat)
2) reach down and wriggle the RHS inner CV out from the diff side cover / gearbox, you will have to "break" the joint ie not cable tie rubber boot, but the clip holding the inner CV in to the gearbox.
3) drop it down under the gearbox
4) move engine across to the other side
5) wriggle the LHS inner CV out of the gearbox
drop it down as you lift the engine
6) remove speedo cable from transmission
Yes this works for auto as well, I have done them all like this for over 25 years, it leaves the car in a safe (ie no brakes, suspension or steering are affected, rollable condition. easy
The reverse to re-fit.
It does sound easier that way.
This is the first time I've removed an engine though so I am dependent on what Haynes tells me!