I can see how they would easily get in one another's way. I have never worked in a restaurant, but it seemed to me that sometimes a waiter's tables might be scattered around the room, so that two tables were in two different sections. I suppose there is a reason, but I think it might be confusing.
Personally, I enjoyed the relationships between these groups when I was a waitress. I worked in a very jovial atmosphere. The cooks were constantly playing pranks on the waitresses and vice versa. I remember one cook in particular to it to extremes sometimes. If a customer asked for extra sauce, he would sling it (in a serving dish of course) across the counter as fast as he could. There were a few times where one of us didn't catch it, but it was all fun and games. I think the relationship can be tense or uncomfortable, but it really depends on the management and the atmosphere you work in.