According to this flyer at http://www.maxxair.com/brochures/fanmate_front_page.pdf
the FanMate is designed to fit over Fantastic Fan, MaxxFan Standard, ShurFlo Confort Air or any other high volume RV roof ventilator.
By contrast, the bullet comments located at Maxxair II | Latest
indicates the MaxAirII "can be safely installed over high powered RV ventilator fans; however our Fan/MateŽ
is specifically designed for this application allowing higher air flow from your existing ventilator fan."
Based on this information, I would use the MaxAirIIs over your regular vents, and put the FanMate over your fan powered vent.