I share your pain! I've just had a very similar problem when trying to tune KIMI2 today. The previous owner said someone had tried to tune the carb when he had it, and made a complete mess of it, so he said it needed sorting. I have run the engine up to temp a couple a times previously without any issue and was hoping to drive the car for the first time today (after a tune-up) to test new clutch and brake caliper refurb, but it didn't go to plan.....
I got the engine warm, then set the idle to ~1300rpm and slowly screwed in the mixture screw until the engine started to hunt, then backed off the mixture screw to get a steady (but high) idle. I then slowly screwed in the idle screw to get to around 800-900rpm, Did that, and all seemed OK, but after about 30-40 secs on idle she got very rough and the engine stalled. Restarted the engine and she ran on just the front rotor. Thinking it must be something to do with the mix/idle adjustments, I set the idle high again and backed off the mixture screw a turn. Still one rotor. Eventually managed to get the 2nd rotor to fire by cycling the throttle between 1500 and 3500 rpm. Engine seemed OK again. Set the idle back to 1000 and all seemed fine for about 30-40 secs and then she ran increasingly "lumpy" but I managed to keep her running by blipping the throttle. She then started to run on just the front rotor again!
Cleaned the dizzy contacts and dizzy housing, checked all HT contacts (all bright, clean and tight), checked for sparks (OK), changed over HT leads, no better. Took out plugs several times to find the front pair were dry and reasonable colour, rear pair wet.
Before I found this thread I was suspecting a carb or vacuum issue? I have a spare carb and rebuild kit, so am thinking of stripping that to clean it up and rebuild to swap. However, I'll also print out this thread and will do the other checks recommended first.
If there are any other suggestions then they will be gratefully received. I really want to get her up and running on the road asap, as I think I just need a new windscreen (now in hand) and she'll be ready for an MOT.
KIMI 1 : 1st Gen, "hybrid" 1983 silver S2 running gear in a 1985 S3 shell, SORN'd, long term resto project
KIMI 2 : 1st Gen, 1983 silver S2 - now sold to Ian Mothersole on here.
KIMI 3 : 1st Gen, 1983 red S3
Plus a 2004 Full Bridgeported RX-8