On what grounds would they file for an order? And how would they find out? As for Christ's teaching, how much different is this from praying in a corporate (church service\prayer meeting) setting? The only people who would know is the organization giving you the information.
Filing for a restraining order was a hyperbolic statement used as a rhetorical device to help make a point. That point is, I think that my neighbors would think the whole thing creepy.
I would ask you to try to step as far back, for perspective, as you can, and do your best to put yourself in your neighbor's shoes. Then watch the video with their eyes.
If I were not a Christian and saw that video, it would offend me. It would offend me because it shows my Christian neighbor with an agenda for me, not a love for me. Yes, of course, our prayers for our neighbor's salvation can be a loving act, but when there is an ulterior motive, even a good one, people are put off by that and feel like things rather than people.