See the two bold things:
One factor is that America has always been off-the-charts in terms of religious fundamentalism.
Indeed, Alex Jones may never speak at a Republican convention or become a part of the Fox News primetime lineup. But he doesn’t have to. His conspiratorial thinking, rhetoric and style are now well-integrated in the Republican Party, a legacy not only of the Trump years but of decades of conspiratorial politics.
In each of these two instances there's an "in..." construction that attaches to the bold; do those two "in..." constructions ("in terms..." and "in the Republican...") change the calculus at all regarding the question of whether or not to hyphenate?