I have experimented with several solutions to this video and lasers predicament over the years. As background, my environment has lasers mounted pointing in pretty much all directions and three video projection areas. For years, I didn't have any problems, but I eventually fried a PICO DLP projector after upgrading power to one of my laser projectors that had the video projector square in its sites.
I then implemented the DMX servo solution that Finale described using lightweight aluminum shields. It worked fine except that the servos were loud and occasionally jerked a little bit. One of the projectors bounced a little every time this occurred, making a bit of a distraction in the projected image. I eventually fried another PICO DLP projector because I left the shutters open on the video projectors while doing some testing. Oh, side note, in my experience you can hit the lens of a DLP from an angle outside of the projected image range and not cause damage to the DLP chip. Once you are "in the zone", though all bets are off and you'll typically get cascade failures vertically and/or horizontally from the point that initially fails on the DLP.
I finally grew tired of keeping track of lasers versus video timing and changed all my video projectors to short throw 3 LCD models. The 3 LCD model video projectors are far more resilient to laser strikes than DLPs. Also, as they are short throw projectors, two of them are mounted so close to the projection area that I can no longer hit the lens with my lasers. I still have a DMX servo cover solution on the third although I'm not sure it needs it. A side benefit of the short throw projectors is that they end up going through less fog and are therefore brighter in these conditions as well as less of a distraction for the audience.
Best of luck with whatever path you choose!
"Help, help, I'm being repressed!"