It is likely the two wraps will deaden the drums sound.
I used a hairdryer to loosen the glue on my
Tama Granstars, there were places where the wrap come off easy and others not. Once its soft it rubbed off with the fingers, may depend on what type of glue was used originally.
Some things i found when doing my kit, may be of help?
Measure everything twice and check with dry runs the wrap fitment before using glue, or tape if going that way.
The hoops need to fit on as well as the head so you have to allow for that below the bearing edge, another reason to remove the original wrap or you may have a lot of edge grinding to do.
I used easy to remove masking tape to write on and mark the inside of the shell where the old seam was, and also the batter end and reso end because when the grommet and badge in some cases are off and if the air hole is central drum, it's handy to know which way is up.
The old grommets i very carefully ground out with a burr on a dremel tool so not to mark the inside of the shell by using the screwdriver method, depends on grommet too how it goes. Check that the grommets are the correct length for the new wrap, i couln't get long enough ones for my kick drum ( discontinued) and due to the shell thickness ended up having to araldite in the longest air hole grommets i could find.
Be sure to use something to protect the bearing edges as you work on the drum and your new wrap.Drilling the holes out, i used a smal nail with a shapened end to indent and mark the lug holes from inside the shell - out, then used a hand drill using progressive drill bits from the wrap side, drilled in. The hand drill was good as it rotated slowly to make a good job. 50 holes in my kick drum.
Takes some time, but worth the effort to take your time. Probally took the most time to polish up all the chromework.
You'll be wrapped (pun) when it's done.