This is not about Eric Schmidt and/or Google funding the work of New America, it is about being an independent organization. What is different about your organization and various “public policy” organizations funded by Republicans? They are dependent and are loath to antagonize those that fund them. I suppose this is acceptable but please do not claim you are an independent organization.
In any case the time has come and passed for Centrist public policy organizations like New America. There is a crying need for public policy organizations for Progressive Democrats, you don’t seem to belong there.