I have no familiarity with Myford lathes but looking at photos I see nothing unusual about their construction.
That shouldn't be an issue. I moved a 10" Logan into my basement and essentially did what you want to do. Removed the tailstock, ran the carriage off the end, and removed the spindle / gears from the headstock which allowed me to separate the lathe from the base and motor.
On the carriage I simply had to run it to the end of the lead screw, then unbolted the bearing at the tail end of the lead screw, gave the crank a couple more turns to separate the carriage from the screw threads then slid the carriage off the end of the bed. Reassembly is just in reverse, slide the carriage on until it contacts with the lead screw thread, then give the cranks a few turns while applying gentle pressure to the carriage until it re-engages the thread.
It was actually a very simple process, and the carriage is deceptively heavy so that is a good weight savings measure. Just be careful lifting the carriage off because it probably weighs more than you think it does.
Make sure you support the lead screw so you don't put pressure on the connection at the gearbox. Once the carriage is off, reattach the bearing so the lead screw is secure. A second set of hands can be helpful, but a small bungee cord or some strong string will do if you are doing it alone.