I fear that, with emotions running as high as they are, this will be another "we have to pass the bill so that we can find out what's in it" situations.
Since you brought up the Pelosi quote regarding the AFA, it bears mentioning that the political climate is different now than it was then. In 2009 and 2010, both houses of Congress were controlled by the Democrat party and even so, the Senate had to resort to budget reconciliation in order to prevent a filibuster. It is doubtful that Feinstein can even count on enough Democrat votes to support this to pass it, much less enough Republican votes to prevent a filibuster. Even if she is able to get it through the Senate, it then must go through the House where its chances of passage are even less.