Short attention span here, so I may have missed it in what you typed -
but have you checked the timing? Should be timed to snap between 1 and 5 degrees after tdc/compression stroke on 1. But use a light to see if it's advancing once it gets running.
Also - I've never seen it myself, but I believe the mag bushings can get worn and cause a little wobble - might want to check that. Maybe somebody else can chime in on that.
And I know this might sound too basic - but it really sounds more like you've got your plug wires routed incorrectly. cross two cylinders and it can run exactly how you described (I'm not too proud to admit that there's a reason I know this)
With new points - be sure to clean them up with very fine sandpaper - they often come with a coating on the faces that will keep them from operation properly. Just a real quick cleanup don't go crazy.