Yes, I’m aware of the commonness of it, and you can add me to your list of “sufferers” 
It depends, because “colorblindness” is not just one entity but several.
There are people who literally can not see “green”. To such people, green lights are typically perceived as white lights - they would be dimmer in comparison to a truly white light, but that would not be noticable except in comparison. Or, in some circumstances, the green light might be perceived as yellowish or bluish in color. So they would still percive light and images in such a system using green phosphors.
More common is color deficiency - the person perceives green, but not as well as a normal person (I’m in that category). To such a person, “green” as a color does exist, but pastels, or shades of green edgeing towards another color, might be “off”. For example, I own a winter coat that normally sighted people see as green. To me, it is brown. The green starboard lights on ships and airplanes usually appear blue to me. Emeralds are usually green, but sometimes they look blue to me. But grass is green, and so are trees and other leafy things.
(One common question I get is about traffic lights - in most cases, the green light does look green to me. When it doesn’t, it looks blue. I don’t have problems distinguishing the lights since what’s really important is that I reliably distinguish the “stop”, “caution” and “go” lights, not what color I call them or perceive them to be)
When I’ve seen representations of night vision systems I do see them as green. It may be that my color deficiency is not severe enough to have an impact in my use of such a system. Someone with true “green absence” may or may not have a problem - they may perceive the light as white or grey, but still see enough information in it that they can use it as ably as anyone else. I think the only definitive way to know is to assemble a group of folks with various color vision deficiencies and do some tests.
It is also possible that the colorblind may have an advantage over the normally sighted. Those who are colorblind, particularly the more severe forms, tend to rely on contrast, texture, and other non-color clues more than those with normal color vision. With night vision being monochrome, those used to relying a great deal on color cues may be at a disadvantage compared to those who are not so reliant on them.