In my opinion, the only solution to the traffic problem is to remove all the ladders, ropes and safety devices and return the mountain to what it was. Then let the real climbers climb at their own risk.
It's not a place for rich thrill seekers who have no idea of what they are doing.........
Actually, from everything I've studied, Everest is not a particularly challenging CLIMB. It is a rigorous, demanding HIKE, with a little bit of technical climbing involved, but as you point out, most of the heavy work has already been done by Sherpas or senior members of the team.
All that said, it's still not something to be entered into lightly, as half a dozen people every year find out to their eternal regret.