Let's sit still, be a hole in the water and listen for a while. and most important: stay out of Iranian inner politics. Any interference whatever can only make things worse. Let them settle their affairs (but hold them responsible for their choices).
I perceived a split in Iran like the one I saw in Turkey. In the big cities, Mussawi probably was strong. But in the rural places, when I was there, nationalistic and clerical conservatives were the strong majority.
Although I see it from a perspective from the early to mid-90s. Things may have changed due to the isolation and the failed youth "rebellion" in the 90s (which brought both moderate and extremist young people to the streets of the cities). I haven't been there since then.
Anyway, the president should not be overestimated anyway, for this simple reason:

"Waiting for the new president"