Is this a spider caught on video floating its web between trees?
If you're saying you think this is a spider riding air currents to travel from tree to tree, sorry, but I don't see it. If it's actually moving from one side of the drive to the other, it would have to be moving relatively quickly to cover that distance (about 20 feet according to the video) in only a second or so. If it's just being blown by the air, it seems to me like it would have to have been fairly windy to have moved that quickly, or be capable of directed flight. 

It seems more likely to me that's it's just a particle of dust or similar material floating close to the camera. The reflection of the IR light causes it to appear much larger and causes the shape to appear more regular than it truly is. If it's actually a much closer to the camera, only light breeze would be required to show this behavior. There's a strand of web clearly visible near the camera, and perhaps this is indeed something caught in another strand web and dangling down in front of the camera&mdash;heck, it could actually be a small spider, but it appears dangling from a web near the camera rather than floating between trees.

I couldn't tell you exactly what it is, but it seems more likely to me that be a trick of light and perspective than a spider floating from one side of the drive to the other.

Disclaimer: I'm not an expert in arachnology or videography. These are just my thoughts on the video.