Conor can't take punches and he's hittable and all Max does is punch and hit, punch and hit. I think he'd be the first guy to KO Conor. I don't think Conor has the footwork to avoid Max and I don't think he has the chin to withstand him.
Edson would be a tough fight for Max. Maybe Tony, although I'm not sure. I think Max beats Khabib, as I don't think Khabib's TDs are good enough to find Max, and Max chin is such that if he gets taken down he can take the blows. If Conor could avoid being taken down so much and as well as get up from under Khabib, just like Iaquinta did, I have to believe Max can do the same. Difference is all the time he's standing he's shifting angles on Khabib, making the TDs very difficult to begin with - he's way more mobile than either Conor or Iaquinta, and also hitting Khabib with a non-stop flurry of strikes.
But Edson would be a real problem for Max I think.