DPA makes threaded Lemo adapters which screw into the stock coaxial microdot, but the used stage mics that I've gotten a hold off were directly terminated to Lemo connectors. If that's the case the Lemo connector shaft is crimped directly onto the mic cable. But double check to make sure these aren't just adapters screwed on to microdots.
I prefer using a microdot>adapter 'Y' cable>stereo-mini to keep the stock dots on the 4060 mics I've bought new. When I picked up a handful of used 4061 at a good price with crimped on Lemos I was tempted to keep those on there since they are very nice trouble-free connectors much superior to a stereo mini plug. But I needed a stereo mini output on them and the individual Lemos are somewhat bulky and heavy and I didn't have the mating connector parts anyway, so I just I chopped off the Lemos, selected the closest matched pair and soldered them to a stereo mini.
The wiring is straight-forward- shield/grounds of both mics collected and connected to sleeve, Left signal to tip, Right signal to ring. The shield/ground weaves are easy enough to manage once you tease out and trim back the yellow kevlar reinforcement fibers, but stripping-back, handling and correctly soldering the super thin signal wire at the cable core is difficult. Unless you are practiced at handling and soldering super tiny wires, I suggest getting someone skilled to put the new connector on for you, lest you set yourself up for frustration trying to do it along with a high potential for future intermittency down the road during a recording.