A phrase describing two individuals who have very little to nothing in common, in terms of personalities, interests, opinions and/or beliefs. A softer way to say that two people are generally uncomfortable in each other's presence and because of the resulting tensions are unlikely ever to get along or even be able to stand one another.
Dave doesn't talk to his father anymore. They're just two different people who never saw eye-to-eye on anything.
by D.S. Credito May 5, 2015