One interesting comment during the debate was that many (liberal) journalists use Twitter as a side platform on which they feel comfortable voicing more personal views. While it is an acceptable practice in their circles, conservative readers often point to those tweets as evidence of liberal bias in the industry. Regardless of the professional ethical consensus, it may be a cause of distrust, and suggests a general problem of liberal journalists preaching to the choir.
A final thought as well, I think, whatever your politics, that much of the liberal bias talk from the right, especially the now unmasked far right, was simply language policing. It was an attempt to set the terms of the debate and pull the frame as far right as possible, which seemed to have been largely successful in my opinion. Thanks for the link and the comment, I'll check it out!