Since the stand is able to hold the weight, I would assume you'd be OK. The 60" "limit" may have more to do with the mount - how far it can spread out - than the stand itself. I would think that if the mount fits your 65", then you'd be fine. If it doesn't perhaps you could simply get another mount that's large enough, but still use the stand. If you don't need/use the swiveling bracket, perhaps you can remove it since that would lessen the forces on the stand?
If you don't need the top shelf for other equipment, you could place the TV on it using the TV's stand - load there is also 165 lb.
One other thought - make sure that the larger TV has enough room above the top shelf to make the top shelf useful for what you want to put there - doesn't interfere with the bottom of the screen or IR "eye".