I suspect you're setting up a false dichotomy. There are more choices on theology than ones that require you to check your brain in at the door, such as 1. fundamentalism and 2. feel-good pop psychology.

I am not taught emotion over logic. In fact, the Wesleyan Quadrilateral (a framework derived from but not described by him) has you evaluate beliefs with reason being a co-equal base. In confirmation and later in-depth adult classes, we were instructed to wrestle with the scripture. For example, we dug into the context of the times to understand better why certain things would have been said. We acknowledged selected verses made no sense. We agreed some parts we have no choice but to disregard. We frankly don't take Revelations that seriously because it's mostly batshit crazy. :-)

I am not taught testimony over evidence. My church fully embraces evolution. We see Genesis for the story and the poetry.

Authority beyond understanding: that gets back into the theological allegiance insisted on by the fundamentalists mainly.