I've use the mirror trick twice and it's worked. It's not full-proof but it does not hurt to try. I had one tang beating the heck out of my hawk fish, had it in the corner on the floor. Me adding the mirror instantly made a difference. Now I've also had a yellow flanked wrasse that oddly enough was aggressive in my tank. The mirror did not work with him and I had to remove the fish to find him another home (the new home has worked out).
Since that wrasse was so dominate and aggressive , I used one of those clear fish traps, square box with a trap door. I put food in there and placed it in the tank. Luckily for me it took less than two mins, the fish was in and I released the clear line to close the trap. Not saying you have to get one, but it worked out nicely for me.