I'd imagine there'd be a shift away from the Democratic Party that fought for Liberal ideas, and into an Anti-Trump Party for a short period. In a way I could see if become more of a safe haven for Republican refugees who don't like Trump.
Talks would be more focused on what Trump's been doing poorly, less about the ways they plan to fix it, and they'd pick more moderate candidates to draw more republicans into voting booths. With Trump in office, they don't have to worry too much about securing the democrat vote.
If the 'moderate republican outreach' strategy failed this year in the first place, why would they bother to continue with it, esp. when those guys don't vote reliably for the dems downballot?
It's more likely that they would minimize identity politics, and become a more focused economically left party taking more of Bernie's ideas, which ironically would boost their prospects electorally, esp. at the local levels. Even if the Dems win this year, you will start to see a slow shift in that direction, if they lose, it will be a fast shift, similar to what happened to the GOP between 2008 and 2010.