Personally, I don't think it looks very in-keeping with the shows and films to have three or even four beams coming out of a single phaser strip. You'll notice that on screen the starships only fire single beams out of a particular phaser strip (although can fire multiple arrays at once).
I think it would be great for identical beam weapons (three phasers, for example) to combine as a single beam visually, but still produce a combined damage of three weapons together. It would look much more like the canon weaponry.
Perhaps for multiple beams of different types it would be appropriate to keep them separated, or maybe combine their colours and appearances into a hybrid beam?
I'm just wondering if anyone else would prefer this aesthetic alteration.
P.S. Check out this pre-release version of STO. I want this game, not the one we've got. Just look at those graphics!