That's the main reason why I systematically run red lights on a bike. It's just too damn dangerous to wait for green and start in among the cars.
(The other reason I do it is because it's fun.)

Being first into the intersection and early on the light gives traffic a big clear shot to see that bike rider. Some are pissed off by this, so what, if they are pissed it means they saw you.
One big caveat. If you want to play this game, no mistakes allowed. You must be 100.00% observant of all cross traffic. The day you race into an intersection on red and somehow miss that last car late on the yellow there is a big big price to pay and no one will have any sympathy, you will have a hard time forgiving yourself. If you make it.