I read an article on this at Crash.net. The article suggested that the idea may have actually come from the teams themselves.
I can see where this would close up the field and make the race more exciting, but I can also understand why some would argue that building up a sufficient lead to safely stop and hope to hold onto their position. The voting in the pole is at about 84% against to 16% for this change.
As I understand the extra strain on the drive train from additional standing starts and the fragility of an F1 car, I do not agree with using that as an excuse for not doing it. They do a lot of practice starts and pit stop practices during a race weekend. Does this not place added reliability issues on the car?
In reading the articles on this subject, I would offer a slightly different possibility that could produce similarly good racing. Do a rolling restart the way NASCAR does it, two abreast. This could be achieved on the lap the Safety Car is to pull in. No passing until the green is showed.