This statement about the greater jihad and the lesser jihad comes from a saying of Muhammad, which is called a Hadith, so there can't be dissension or not dissension. It is something he said, and so we accept it and support it as a definition.
What happens in the implementation is that when you're going to define the lesser jihad, which includes physical fighting like warfare, when is that going to be appropriate or not appropriate? I think that's the realm in which differences would occur.