I'm actually a videographer. I had both videos and photos done at my wedding over 30 years ago. We actually enjoy watching our old video rather than looking through the old photo's (as do the kids).
Anyhow, I do all my videos in 3d now and supply a 3d, blu-ray, dvd and a music video to my customers.
When I'm filming I try stay inconspicuous to both the photographer and the guests. I do need some room to get my shots and move around when I need to.
After the wedding the film is every bit as important to the bride and groom as the photos are, so it's quite important for the photographer to work with me too. Usually the photographer sets up the shots (the better the photographer, the better my film turns out). For that reason I'd say photographer #1 and videographer #2.
Though I can’t see myself getting on with JLP too well. One time I did a video and the photographer had the same attitude and kept cutting into my scenes, after I made up the video the customer was so angry they didn’t pay the photographer for his photos. So no point in playing hard ball, if you’re good at what you do, then there should be no problem working together. If the photographer needs my space, just a little nod is all it takes and I can pan away to a new spot. I can’t stop my video and having a photographer walk through my frame 12 inches away from the lens is very unpleasant (especially in 3d).
We both have a job to do, how well you do it, proves your worth.