Note* I never completed my machine, so the following is not proven out...
It looks like you already put a lead screw in. If you want to consider a ball screw for futre machines

, you can get them new for about $1 an inch in the rolled type, but US made. This is only in the 5/8" diameter (which should be fine for this). The diameters above and below are actually more expensive. This is the "value" diameter. And the ball nuts are about $20 each. So you can buy two ball nuts to make your own anti-backlash nut, if you wanted to. I got mine I believe from Reid Tool supply.
My info is dated, 10 years, but I think the prices might still be the same. I was gung ho at the time to build a cnc lathe, but then lost interest. I bought an Atlas like yours for $100, that was 18" or 24" between centers, and then I found a 54" long bed on ebay for another $100 or so. What I was going to do was bolt the linear bearing rails to the top of the lathe bed, to build a new carriage and cross slide. Then use the existing headstock and tailstock like you did.
Anyway, I took the lathe all apart, bought all the linear rails, servos, drives, etc, and then said I'd do it later. 10 years later its all still in my crawl space! lol.
Have you thought about the cross slide yet? You can make a plate that is drilled and tapped in many locations, that you can then mount multiple QC tool posts to. If you only use the lathe for tapering that probably won't gain you much. But if you end up using it for turing metal (for fun, or for your cues), you can mount multiple tools at the same time, one in front of and one behind the center axis.
What about the spindle drive? My Atlas had a huge belt drive train hanging out the back. I was planning on junking it all, and just driving the headstock with one belt and a VFD controlled motor.
Best of luck to you! Keep us posted of the progress.