GreenGlue (GG) is not an adhesive, so it will not suffice in securing the tiles to the wall. Instead, you will need a double layer of drywall for this. The GG will be sandwiched between the two layers and the panels will be applied to the second layer per their own directions.
Assuming you already have the first layer, get yourself some additional 1/4" drywall panels. Apply the GG to the back of these panels per the directions, find the seams of the existing drywall panels, and stagger the new panels over them. Remember that drywall in home applications is horizontal, not vertical, so you will need to do some tricky drywall cutting/snapping to stagger the new panels. In the off chance that the existing drywall was hung vertically, staggering will be much easier. You're not done yet, though, because you will have gaps between the new drywall panels that will need to be filled with sound-dampening compound. A single tube of accoustical caulk should fill in these gaps (I've used QuietSeal, but GG makes their own as well). You will likely not need to mud or tape the new layer of drywall since you're going to cover it all up with these tiles.
Lastly, I will advise not to forget about flanking paths. You can soundproof a wall, but, if there is space beneath the floor (crawl space or another story) or above the ceiling (attic space), sound could flank below and above the wall you soundproofed and reach the room on the other side depending on the noise level. Edit: I just read the new info you added. This application should help contain noise generated by television and sweaty surfaces of skin slapping together.
So there's obviously a lot more to soundproofing than meets the eye. If you go my route, you will need to learn how to measure, cut/snap, and fasten drywall, but there are a lot of easy tutorials on how to do that.