I know exactly what you are talking about on the rear tab and the shifter tab - they make removal and installation a royal pain in the anatomy.
A little more thought on the engineering side and it would be a lot easier!
Yes, if you remove the alternator to get it out you can reinstall the alternator before you reinstall the engine.
My only caution is when you remove it be careful and not pull out the drive gear as it is a royal pain to try to get back in.
Look carefully at where you pry to get the alternator out.
You will have to reach the lower alternator bolt (there are 3 ) from the bottom.
My engine didn't 'drop nicely down' either time - it sort of fell out of the frame once I got it the right place.
Getting it back it is real 'challenge' but pay very close attention as to where Mr. Millyard places his lift straps - it make a lot of difference as I found out.
If the strap on the left head is not positioned properly - around the engine and where the top of it goes - it will lift the entire engine instead of swinging the left head up into the frame.