My wife and I are wedding photographers shooting 30-40 weddings each year, so I'll give my perspective from a photographer standpoint.
As stated, the two skill sets are very different, and require very different equipment. In order to film a wedding properly, you need to have invested in high-quality audio equipment, including lavalier lapel microphones setup on the groom / officiant to capture vows, or the ability to tap in and capture audio through the DJ's equipment. Without it, even the best cameras will fail to capture your vows. Even with high-end audio equipment, audio can still get messed up (forget to turn mic on, wind picks up, signals interfere, etc). That's why professional wedding videographers will have you recite your vows before the ceremony in a silent room, alone, so they have a clean version as a backup for their video. Clearly your videographer did not use professional audio equipment.
As for setting up the video camera in a corner versus the aisle... having a video camera center aisle makes it extremely challenging for photographers to work around, because we need to be in the center of the aisle through portions of the ceremony, and especially for the first kiss. If a video camera is setup in the aisle, we'd end up blocking the shot of the first kiss with our own bodies.
Having said all of that, it sounds like your photographer hired a low-budget videographer. On a $3,000 package, he's likely paying a second photographer around $200-$300 for the day, and thus he likely spent about that much on a videographer. And unfortunately, any videographer in that price range is going to be pretty terrible. I'm sure the photographer was cringing just as much as you were when you saw the final film. I've never seen a quality wedding video done by any videographer for under $2,500 - $5,000 (for a 4-6 minute video).
As for taking the photographer to court, I don't believe you'd have any leg to stand on (though I'd have to look at your contract to be sure). In this industry, photographers / videographers have artistic license to do their jobs as they see fit. Just like if you hired a graphic designer to create a logo, and the logo turned out terrible, you couldn't sue him / her. You could ask for a partial refund and possibly get a few hundred dollars back, but I'm afraid that's about the best you're going to get.
Did the photos turn out nice, at least? Have you reached out to any guests to see if anyone happened to film on their cell phones? If you can round up all the raw footage from the videographer + cell phones, you may be able to piece together something.