Evil Morty is the main antagonist of Rick and Morty and while yes he has confronted the protagonists, thier relationship is not very direct like with Ricks archenemy Rick Prime. Overall, Evil Morty's goal is just to get away from the Central Finite Curve and is more antagonistic towards the citadel as a whole than anything (some of which are bad people like the Shadow Council of Ricks.) Heck, in the latest episode he even teams up with the heroes.