I haven't soundproofed any garages from miner, but I have had a little dealings with soundproofing on basement suites.
If it was me I would build a stud wall on the inside of the garage (between the miners and the master bed wall. Use the Roxul Safe'n'Sound in that wall then use resilient channel to hand the drywall on. Maybe even use acoustic sealant between the boards and the resignation channel. The back can be left open.
The main objective is to reduce the vibration by uncoupling the surfaces in the garage and the bedroom. Don't let the new stud wall touch the old garage wall. Fixing it to the floor should be fine but attaching it to the ceiling or outside wall should be through something that will not transfer the sound (maybe more res channel).
When installing the res channel do not 'short' the board to the frame wall. Screws holding the drywall on should only screw into the res channel and not the stud wall. This will transfer the sound. Failure rate for installing res channel can be high if your not careful, but its easy if yous studs are makes properly. There are videos on youtube explaining this.
http://www.soundproofingcompany.com/wp-content/uploads/2015/12/sw-resilient-channel-single-single-solid-banner.jpgBasically like this but with an open back. I see some pictures with the green glue between the boards. Is this what you are talking about with the glue. I have never done this but I assume it would help more. You could do the one skin then add the glued skin after if the first skin isn't enough sound proofing.