Would you really need to screwcut the internal surface of the lever attachmment? I'm sure I've seen designs over the years that just clamp onto the quill. A nice piece of aluminium would have enough "give" in it to clamp nicely on to the threads without causing damage.
Otherwise, yes its a standard Acme thread AFAIK that could be turned into a piece of aluminium eaasily enough with a home-ground tool bit in a boring bar. But probably not the best project for a first time at screwcutting. I'd seriously be looking at clamping options.
As for drawbar on tailstock, I have never used one in 50 odd years of messing with lathes at home and at work. I wouldn't worry about it. If the internal taper is in good shape it should hold whatever you need to do without problems with no draw bar.
Just one example, I have used the tiny MT1 taper on my ancient Drummond Flagellator to hold a drill chuck that in turn held a 1" diameter drill bit with reduced shank to fit the chuck. Drilled a 1" hole in steel with no slipping of the taper. So when I use the ML7 with the big MT2 taper, I'm pretty confident it's never going to let go. Ever.
Pic: MT1 tailstock taper on "The Flagellator" Drummond M-type holding a 1" diameter drill bit drilling steel. No draw bar. What more do you want?

The secret is to make sure that both tapers are scrupulously clean and free of burrs. A rag pushed up through the tailstock with a screwdriver will clean it out usually. Then slide the chuck or whatever into the tailstock with a good "bang" so the impact seats the taper. I think I might have cheated on the 1" drill and tapped the tip of it once or twice with a piece of brass bar to make sure the taper was seated good and solid.
Edited By Hopper on 08/02/2019 01:03:08
Edited By Hopper on 08/02/2019 01:06:43