I have never removed an engine and gearbox, as I bought my TCS in pieces.
When I did finally install it, I installed it as a combined unit (engine and gearbox) from beneath - the body was off the chassis with no front or rear suspension as yet attached so it was all relatively easy. I do remember that the carbs were most certainly not installed along with the oil filter housing.
However, in revisiting various areas since this, I could well confirm that with the transaxle and engine removed, the whole rear suspension becomes "null and void" providing zero support and everything becomes a bit of a nightmare....especially if you are wanting to move the car.... Look at it all carefully HoraceM22, there is no magic too it, but makes sure you understand how it all "works"
Sometime back someone posted the below picture, which whilst I believe is an S2, was a "work around" having the engine and gearbox out of the car. Note: this is NOT my photo or my car - I just copied and filed it away for future reference and I have always thought that Lotus should have marketed such a set up for sale - its simple but very effective.
Good luck anyway.