At this point, I don't think anyone is really arguing that "masks don't work." Dr. Birx is worried that people will see masks as a substitute for other measures like social distancing, hand washing, and avoiding touching your face.
There is a growing "grassroots" movement advocating that everyone wear homemade masks -- #masks4all
Makes sense not to wait for the CDC on this on. Every day makes a huge difference.
See https://shouldiwearafacemask.com for a summary.