If you're going to make an argument to people, then I'm sorry, the actual facts are gonna be a part of the discussion.
Facts can be as easily corrupted and refit to any ideology as anything else can. Of course they are important, but more important then an ideological platform and worldview? Probably not. Facts and data cannot make up for a lack of enthusiasm. Any prosecutor will tell you that what is more important then the facts, which need to be dealt with, is telling the more believable story. OJ Simpson clearly murdered somebody, so instead of trying to use the facts solely, they instead created a story where it was credible someone else could have done it, including details that are fact, like how the LAPD is an extremely racist organization.
I think what we can infer from the past 5 years is that people will be more engaged and devout to a worldview. Facts from DC think tanks and peer reviewed journals gave us 3 decades of neo-liberalism slowly eroding the quality of living of everyone in this country, because there was an ideology backing up those facts and acting on them. Its not hard to understand why people just tune out.
One where the woman is less believable by default
Interrogate it however you want. Yes I believe Bernie over Warren. This isn't going to work on me. I'll say it - Warren is lying at worst, and at the very least taking massive advantage of a clear cheap shot right before a debate as her poll numbers are in freefall with little chance to win in Iowa.
If you're going to start using "believe women" as a cudgel, its not going to go like you think it will.
