I have a son who was named after his father. My husband was William James III, and my son is William James IV.
Giving a son the same name as his father wasn't something I had planned on doing, and wasn't something I would have thought of myself, but my husband had his heart set on it. That being the case, I didn't have a problem with it. I think that one thing that made me more amenable to it was the fact that my son would be a IV, and not merely a Jr. What I mean is, I didn't feel it was a tradition I wanted to start, but it was one worth carrying on.
I read a study once that concluded that boys named after their fathers do tend to have more problems in their relationship with their parents than boys who are not. But the study emphasized that this was not due to the fact that the boys were named after their fathers, but that parents who DO name boys that way are more likely to have expectations that the boy will be like his father, and this is what leads to the problems. I knew that we were not going to raise our son with the expectation that he had to be just like his father, so this study never bothered me.
So how do you feel about naming a son after his father? Is it something you would proactively do? Or would you only go along with it if your SO wanted it? Would you go along with it happily, or very reluctantly? Or would you fight him tooth and nail on it?