GTE,
I did not see the pic, as it is not working now.
if you want to mount the engine transversely using the F40, you will need an adaptor plate, which will add even more length (actually width) to your drivetrain. If your 1uZ is 24" and the F40 is 14.3", then add another .5 to 1.0 inches for the adaptor plate.
Please note that the dimensions I give for engine lengths are from the front of the crank pulley, or head of the crank pulley bolt (for example, the northstar bolt head adds .5 inches to the length) to the rear face of the engine, where it meets the bellhousing, NOT including the crank protruding past that, as the crank protrudes INTO the bellhousing of the trans.
The trans length (width in transverse) is from the bellhousing face to the left most edge of the case. On the F40 trans, it is fairly flat here.
When it came to fitting the Northstar (the Cadillac V8 engine I am using) and the F40 bolted together (no adaptor plate needed for this combo), into the MR2 chassis, the parts of the body that interfered were the "frame" rails down low in the engine compartment, and some tacked on stiffening webbing on the right side shock tower. I avoided cutting the shock tower itself, but it could be notched, if I had to.
If my choice of engine were longer and/or required an adaptor plate, cutting a hole in the shock tower would be required to clear the rear head of the V8. The shock towers lean in towards the engine by 10 degrees or thereabouts. Fortunately, the Northstar does not have anything that sticks out of the heads above the engine pulley (like a distributor). I am sure it was designed this way as it was meant to be mounted transversely by GM.
On your Corolla, you will need to find the distance between frame rails, and shock towers.
Here are my drawings of the MR2