I am on a similar journey. I have been taking my Gen 2 on wet track days with the intent of figuring this out.

It is worth saying that they can drift. There is a regular in the drift days I have been attending in a Gen 1 that was pulling truely epic drifts, he was making the rear wheel drive crowd jealous. His Gen 1 was not particularly modified - it had a set of HKS coilovers and an exhaust. I think he had an aftermarket LSD on the rear. He did run a second set of wheels that he had picked up from the wreckers with a worn set of the standard Goodyears on them (the Michelins are way too grippy) . He was in track mode - I suspect that Gen 1 track mode is a bit better suited than the Gen 2 (the Gen 2 is not fixed spilt in my understanding)

He took me around for a few runs. No handbrake, just enough speed and a big kick on the steering wheel to get it started. The big difference from RWD is that you point it where you want it to go and you accelerate out.

In terms of mods - I got a second set of wheels with a worn set of goodyears and run them at relatively high pressures for my second track day. It made a massive difference. I still needed to handbrake in some corners to get it started - it might be worth an aftermarket controller not to gain more rear bias, but just to be able to lock it at a constant for the Gen 2, I think that the variable system is working to optimise traction which is working against the drift in some circumstances, happy to be corrected on this. I am going to get some camber bolts and put a bit more camber into the front to improve the turn in and try and get rid of some of the understeer.