You think that's what gave rise to the Sunni-Shia split? Check again. http://islamfortoday.com/shia.htm
I'll spare you quoting chapter and verse on the form of government being specified as one man rule of the Khalifa. (Hey! That's what bin Laden's about! Gosh!) But yes, it's most definitely there. The argument between Shia and Sunni is about who should have been that one man, not whether there should be one or not.
I think what you mean by government is form of succession specification. There is a huge difference. One can find many authors who discuss that and its roots in the "strong man" culture of the Bedu that Mohammed came from. Go to a library and pick one up that discusses his life.
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