I'm very much a "wait your turn" person, but safety takes precedence over courtesy. As always, you should not use a bike lane when it is dangerous to do so.
If Williams is stacked up, fill the box and take the lane. The traffic behind will have to deal with it, and deal they shall; riding at a typical pace will get you to Broadway just as the light turns green. Bike lane gaps will open, and nobody is slowed down.