There is an opportunity to have a cycle path, between Tibbets Corner & Wimbledon Village, off the road, parallel to Parkside. A pedestrian path already exists. Parkside is a dangerous road to cycle down at the best of times.
Interestingly, a few intrepid cyclists do use Parkside, and I expect there is a hidden cycling population (including me) that would leave their cars behind & use bikes for their commute along this road if it were a safer journey.
A real opportunity here I think to increase cycling, decrease traffic congestion and move towards the 'Go Dutch' vision that the Mayor of London outlined earlier this year.