Amongst all the nips and bites, snazy has hit on a good idea here:
have a permanent crossing guard or policemen.
If he sees a significant build up on the reservation, then he simply stops the traffic to let them cross, regardless of whose turn it is.

Generally I think we all want to see more of a police presence to deter crime, and one stood in the middle of the south circ by the station could hardly be more prominent. Just like the good old days.

The careless crossers could be told to watch-it, and cars stopping on the crossing could have their side-windows vigorously rapped. Cars jumping the lights could have a failure to stop £1000 fine added to the charge.

I've not used the new island but i am hardly surprised.
The message to the disabled, old and parents of the young is very clear now: get in your cars or on the bus and shop somewhere else.