"Those are just the opinions of a small fringe" was much more believable in a pre-Trump world - but now, even more than post-Tea Party, the fringe is pushing the agenda.
And even pre-Trump, you can read that study as an indictment of the conservative media and it's evolution to sensationalism since the 1980s.
To use an example from the linked article: "For instance,when conservatives express binding-foundation moral concerns about gay marriage—e.g., that it subverts traditional gender roles and family structures—liberals may have difficulty perceiving any moral value in such traditional arrangements and therefore conclude that conservatives are motivated by simple homophobia, untempered by concerns about fairness, equality, and rights." - the vocal conservatives were not expressing a very nuanced view, it was the violent fringe that was making the most noise and claiming the most airtime even in conservative outlets.
If you want liberals to understand your complex conservative reasoning, you gotta get the very-un-complex trolls off the air!