CCD and CMOS chips vary in how sensitive they are to IR light. Generally they do tend to be more sensitive than the human eye, and thus you see the lights more on video than `live`. Dosn`t matter if you use IR, nightshot or anything. Incidentally, using IR can look like you are using a video light to CMs watching CCTV - their CCTV cameras pick up your IR light as much - if not more than - you see theres. Best to avoid it if you don`t want the soundtrack ruined by a PA shout.
There is no real way to filter IR out easily for the consumer. UV filters are at the opposite end of the spectrum so won`t make any difference.