A good track saw with biscuits or ideally dominos to keep the joint from moving around, some notched cauls for clamping, and relatively quick setting epoxy for the adhesive.
Cutting that on a table saw is difficult, you'd need one hell of a (accurate) sled, and the size and weight makes those pieces, especially the top, really unwieldly. Impossible? No, but FAR easier with a good track saw.
Since the whole length of cut is end grain, epoxy is ideal. The notched cauls could be clamped at the ends where accessible, and screwed through the back side with trim screws leaving a few small holes to fill. Alternatively, a small amount of epoxy may anchor it enough and can be sanded away more readily since it doesn't soak into the wood like CA or normal wood glue.
A well cut joint with dominos (ideally) won't need a lot of clamp pressure to close, especially if using epoxy as it can fill small (.005" or so) gaps and still be perfectly structurally sound.
As for the lock miter, that would be the best way to secure the joint but as noted, set up is a pain in the ass. Infiniti tools sells a jig, I can't vouch for it as I've never used it but perhaps others have and can chime in? This includes two bits and two jigs. Running those big heavy boards on a router table and not moving them at all during the cut wouldn't be easy though. Power feeder would be nice in this application.
Infinity tools bit and jig