As far as cutting across the grid, it's primarily Woodbine st. it cuts across mid-block. It reaches Madison near the intersection of Woodward, so that's sort of like a typical "junction", as is Putnam, Fairview and Forest.
As for stops, that might be difficult, but they might fit in existing empty spaces that are now lots, or you simply wouldn't have the stops for different directions opposite each other, and the opposite direction would have to wait to be able to pass (this often happens on narrow two way streets anyway).
Or perhaps make the busway one way. That would still help. Or, perhaps use if for LTD service only, and would wouldn't need any stops in it.