For the lights, your 6500 Coleman genset will probably work fine. Loud and a bit fuel-hungry, but fine. And who really cares if the lights flicker or get a bit brighter or dimmer during the concert. +1 one blocking/shielding the drone of a loud genset.
For the music gear, the cleaner power from the quieter Honda inverter genset (or equivalent, such as the Yamaha inverters and such) would most likely be 'better'. Although double-check the actual loads of ALL the equipment versus the actual running-load rating on the genset.
Because IIRC, the Honda inverter gensets (very nice, small, pretty lightweight, and pretty quiet, btw) list the name/rating as the "peak" value and will trip/shutdown if you hit that value for more than a few seconds. IIRC, the 2k inverters actually can 'handle' more like a 1600W load. Which is pretty much just one single 15amp 120V device/load/circuit.
OK, you made me check. Honda EU2000i generator is rated 1600w (13.3 amps at 120V) 'sustained' and the 2000W rating is just for brief surge/start-up loads.
If the sound equipment is more than just a single 15amp 120V worth of 'stuff', then you would be better served by moving up to the '3000W' EU3000is (or equivalent, like the Yamaha EF3000IS ) which can run 2800W sustained (basically that is two 120V circuits worth of equipment at approx 12amps per circuit) and surge/start-up (there should be no big start-up loads with music electronics, although large amps running large speakers hitting loud bass notes might surge the current draw).
Check the loads and get a genset that can handle those sustained loads.