[neoflex]

Sounds to me like you are living in a house with too many personalities and you two just like to argue with one another for one reason or another whether you both have dominant personalities or deep down you get on each others nerves. I don't think the college/non-college argument may be the case as mentioned previous there are some pretty sharp people without degrees and vice versa.
My wife and I at one time between moves made the mistake of moving in to her mothers house while waiting for the apartment we would be moving into at the time to be finished being renovated. That was the longest three weeks of my life as her sister and husband were living there as were her brother and wife. Fortunately we would be getting in and out while they were there for the long haul but I found that we all argued over everything, mostly petty BS because there were just too many people living amongst each other. Once we left our relationships with them went back to normal where the rest that were still living there and continued to bicker over everything and I think now that everyone has gone their separate ways they still have some ill will toward each other because they lived like that for so long. Sounds to me that you two will continue to argue if living under the same roof together. Hopefully you guys can either patch up what seems like some sort of deep down resentment toward each other or one of you moves before it ends up effecting the relationship permanently as the longer it goes on the more you two will resent one another. I could be totally off base on this one but just giving you an opinion from experience.