Mikey hit all the points that I could think of at this time. Sharp tool, smaller tip radius to lower the cutting pressure, smaller and finer feeds will help you a ton.
When you go to cut that 7/8" thread, you will have to take light cuts with a very sharp tool. Use lots of lube as well. Everybody says that! It can be done even on an Atlas. I cut 12 tpi square threads for my second Savage 99 barrel, with my hand ground tool and that was sketchy, as at the time it was early in my experience with this lathe.
Make sure that the top compound gib is the full lenght and properly adjusted front to back. Mine came with a short gib and this gave me fits until I looked at it.
Same for the crossfeed slide. Sometimes the gib screws are not evenly adjusted or the tips are not in their locating holes on the gib strips.
The brass feedscrew nut is not a problem as you have to take up the backlash anyways.
How is the lathe bolted down? On a solid and strong bench that can not twist as the bed tries to move around under load?
Check the bearing plates under the carriage frt and back for excessive space. Can you lift the carriage up off the ways at the frt or back? May require reduction in the shim stack. If it is still there! I had issues here as the ways were worn in the first 6" , and if I tighten for that area as the carriage moved to the tailstock, the carriage would tighten up to near jamming. I ended up using belleville washers on the bearing plate bolts, to allow some give in the bearing plate to underside of the ways. This step will help more for chatter.
Getting further in, remove the top slide and check that the dovetails are not worn excessively towards the front. Use a straight edge to check and measure across from end to end to see the difference in width. You can fix this but takes a bit of time and finese(sp). Do the same for the crossfeed dovetail as well if you still are having issues but usually it is the top slide that has the most wear.
That is all I have for now. Bed is calling.
Pierre