Mike,
It kind of sounds to me that you are mistaking the ceiling tiles as insulation.
I am assuming that you are cutting a 6" round hole in the ceiling tile. Which is usually 2' by 4' square and 3/4" thick.
I understand that the ceiling tiles are sometimes made of insulation type material. When the recess can says NON IC rated, (Insulated Ceiling), they are talking about the insulation that goes above the ceiling tiles.
Just make sure that you push all of the above ceiling insulation about 4" away from your recess can like Trumpy posted.
Some recess can light fixtures have some sort of temperature limit switch. If you leave the insulation directly on top of the recess can, the light will turn off for about ten minutes then turn back on. It will keep repeating this untill you remove the insullation.
Tev
