The reason they battle, is because they fit the same "niche" in the reef. Both dwell within and around the rock rubble, in search of "like foods", "like habitat" etc.
At 65 Gallons, you should be okay. They'll pick their respective corners and back off of each other. You MAY have to move some rock (if possible) and "confuse" the 6-line. If his/her territory doesn't look the same, it may become a little more submissive as it tries to figure out "home" again.
I've used the mirror on the wrasse before, as a distraction. It does work. It also gives you a chance to see why they are properly called and part of the "flasher wrasse" family. Purdy ain't they 
D
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