I was tryin to summarize. On sistering 2x10s to existing 2x6s and raising rafter ties, I was a little concerned by how little 2x10 is left, but I think sistered to 2x6, together they give you enough shear strength. It would be nice if you could widen top plate so more of sawn end of 2x10 was supported. Anchor a 4x4 or even 2x4 flat against top plate and/or maybe cleat the bottom of the 2x10. Just imagining max load causing 2x10 to split at the edge of top plate.
The issue for the rafter ties is as you noted the walls spreading. The 2x6s are fine for roof load - empirically - if you don't raise the rafter tie. When I understood you were not raising all collar ties, but just a center 12' or less, I recalled you can prevent the walls spreading with a beam at top plate to resist the outward push of the rafters. So, move the center rafter ties into ends where they can stay at bottom, and put a beam - flat - horizontally at each top plate, and tie the opposite ends together. So no new materials except those two beams and two (steel) ties connecting the ends of the beams.
Simple vector problem to calculate outward force of rafters with maximum snow load, but at 8', a 2x12 would work I think. At 12' it might need an LVL - maybe a single 1 3/4 by nominal 12.
I like a solid steel piece for tension member (ties) because of problems of wood in tension and connections and shear. I thought a steel angle would anchor nicely across the horizontal face of a 2x12 or lvl, and the gravity load of the steel pieces could be easily supported by an existing adjacent rafter tie. You could use a steel rod or even a wire rope, but a tiny bit of stretch in that, plus temptation to pre stress too much, concerns me. And you could probably use wood to tie them, just overkill the connections.
I wish I was quick and able to sketch on my phone but alas, I'm not.
Just think of it as inserting a really stiff rectangular frame in place of removed rafter ties at the top plate. And keep ceiling and insulation materials as light as possible.
Is that clearer?