Yep... am now halfway through my second run with SoA and since I love both lugs I keep them along (they've got damn good skills too!)
Anyway, both characters do have some personality problems with each other and, except if you install the cracks that are proliferating on the web, they will be bickering with each other (that's basically what the alignments are all about too
)
Thing is, as Lifetime mentioned, they never really come to blows. I haven't really heard of anything really violent that's going to ultimately and inevitably happen between the two too. This is unlike well documented conflicts like that of Viconia and another paladin (this isn't a spoiler is it?!?)
Anyways, just keep on playing!