Can someone with a bachelor’s degree in political science and a Masters of Business Administration teach undergraduate courses in Political Science?
Highly unlikely.  Even at the community college level, to teach in a field one must typically have at least some postgraduate degree in that field or in a closely related field.  So you someone probably teach in a polisci department with a degree in economics, because they use many of the same methods and consider some of the same areas.  Ditto philosophy.  Not a professional business degree.  

(PhD political scientist here)