Phew, my bookwork has paid off!
On the left, you can see a completed version of the wheel assembley, as well as the part that will be replaced with the frame of the passenger train/zero car. If you're wondering why it seems to be so high, it's because the bearing system has to fit above the LSM fins.
The part on the right has been the tricky part. I've spent several weeks pouring over thick books (okay, pirated PDF copies of 500 dollar design manuals) with very few pictures, full of magnetic field lines and optimum sized motors. This design is simple, but mirrors actual coaster systems. Rather than attempting to turn on and off each electromagnet (there will be over 60 on the launch), you simply group them into threes, and alternate the power with an IGBT. Because of the polarity of the magnets that pass next to them, this causes a linear acceleration.
Looking at the picture, the very bottom row is already lined up with the first phase. Powering this would hold it in place. To begin motion, phase 2 (the phase above it) would be powered. This causes the train (and its magnets) to accelerate down, with the south magnet on the left, and north magnet on the right being the ones being pulled. Then the third phase is switched on, further propelling the train down. Then phase 1 powers on again, and the process repeates until the launch is done.

The only hard parts remaining (hah, ONLY), are:
come up with a cooling system for the launch (may just say screw it and flood the fins with distilled water)
sketch/design/model the trains themselves (very long process)
design a PLC cabinet
design and model the wiring and control circuts
actually build everything
program the PLC, and then power the whole thing on.
Hope to have all this at least partway done before the summer.

Any questions? Shout em out!
Design is owned by TheFurryEngineer