This is certainly true, but both Al Quaeda and ISIS are Sunni organizations. What you don't get is fighters moving from Hizbollah (Iran-sponsored Shi'ites) to ISIS (Sunni) or vice-versa, as this would basically require a "denominational" conversion. Think of Catholic vs. Protestant during the 30 years war.
As I understand it, they are both Sunni, but ISIS was more of a Wahhabi sect. It doesn’t see other sects even in the Sunni grouping to be it’s equal.
Thus I believe the commingle argument is valid.