I think the simplest option would be reduced quotas. If some people continue to act irresponsibly and others make a big stink about it, it's probably the most likely option, too.

It definitely worked on Half Dome, which like Whitney is little more than a trophy to some. I wouldn't expect those folks to have any respect for the mountains.

Quotas could be reduced by a merit system.

To qualify for an overnight permit in the Whitney Zone, for instance, the applicant must previously complete an overnight trip elsewhere in the Inyo/SEKI area.

This would:
1) Weed out the trophy hunters, reduce accidents
2) Disperse traffic to other trailheads, giving hikers a greater appreciation of the Sierra
3) Once you are in the system, the rangers have your info and history at their fingertips and you don't hold up the line

Dayhiking permits could be reduced by the number of discarded wag bags.