It does not really need patience, to add some velour tape to the dock, its a matter of minutes And you do not even need to disassemble it. You might need some tweezers but its easy to access the rails without disassembly. The important thing, at least in my opinion, is to use something really thin.
And for the screen protector, with the current state of the dock, as long as you want to use the dock, it might be better to stick with the plastic protector. The glass ones add some thickness and would lead to more scratching (on the screen protector, but still scratches.) and more stress on the dock.