Left Wing Republicanism vs Right Wing Republicanism

Simple question really. Is there a division between a lot of them in terms of political ideaology and has there ever been an attempt to find common ground between them? Right wing republicanism held a lot of sway in that their views were shaped pretty much by their religious fevour from their catholicism and if I am right (or wrong I apologise if I am) there was a move to more left tendencies from the view that British occupation was imperialism. Is there still that gulf there ?