It's interesting that you mentioned that MBT is a lot like mindreading, Reader. In a sense, I think many of us run into difficulties because we think we're mindreading, but in actuality, we're usually misinterpreting what is happening because we're relying on our own personal misconceptions about social situations. In a sense, we're using our own warped or twisted take on relationships or social interactions. I don't know about you, but that always leads to serious problems

I often think that the anxiety I feel in social situations, an anxiety that isn't evident just by looking at me, results in this tendency to "think" I"m reading the other person's intentions, but in reality, I am stumbling around in my own brain making the wrong connections or interpretations. I've come to the conclusion that being inside my own brain during these situations is a dangerous place to be! I need to be less with my own perceptions and more with how the other person is thinking. In MBT, there is a focus on helping the individual who struggles with the misconception that they're "mindreading" to have a serious reality check on how much he/she is making the wrong conclusions. It teaches individuals to consistently check on what the other person is thinking and/or feeling. It does this through lots and lots of practice. Instead of jumping to the wrong conclusion, it encourages individuals to check in and be more real and present in the actual relationship. My take on things anyway.
Good luck with your search!