Furthermore, if the workers really stood by their moral convictions, they'd use their collective power to tackle the issue more directly than by just appealing to Google. Companies like Google are like the railroads of the 19th century. They comprise the major infrastructure of modern society. A union at Google could threaten to effectively halt all institutional operations of governments or other companies in order to influence their actions. Is facebook manipulating voters? Okay, no more gmail for facebook till they stop. Is the government going to bomb Yemen? Alright, we're shutting down government accounts.
As others in the thread have also said, I'm doubtful many of these signatories will quit their cozy jobs if Google doesn't back down. Without the group solidarity and pressure from a union, most individual workers just don't have any good incentive to put their money where their mouth is.