Can you install 2" exterior foam board from the footing right up the roof line?  I know you can do the foundation walls, and of course the exterior sheathing, but what about a complete seal to cover the exposed basement wall and rim joist also?  How would you make the transition on top of the foam from siding to basement stucco finish?  Not only in material and method, but also in the plane of the siding to the plane of the basement?

I was thinking of 2" foam board everywhere, and then use the 1" board with the furring channels on top of the 2" on the first floor level (and not the basement).  I would use thicker furring strips to create a rainscreen, and this in addition to the extra 1" foam board would have the siding 2" or more off the plane of the basement wall.  If anyone can follow this I am open to suggestion.  Does this make sense?  How do you "seal" the overhanging bottom of the foam boards?  Should I set the first floor walls back (towards interior) an 1" or so to make the final finish more even with the basement?

Thanks.

Seems like you're creating lot of work for yourself. Why not go with 3" boards up top, that way you'll still have that recessed break at siding and basement. If you want all to be flush then yes, recess the walls to inside to whatever thickness of the furring strips.
If you can, try and eliminate seams at the rim board area to control water intrusion.
Yes acrylique finish for parging since all is ready for it. Much more durable if you ask me.