I think MWI means more than that. If you figure out how to ensure that Schroedinger's cat is alive or dead, but not both, then it's not MWI. The mangled worlds thing gets rid of some of the worlds, but it most certainly does not get rid of all but one.
Sean Carroll, physicist and proponent of Everettian Quantum Mechanics, has just posted a new article going over some of the common objections to EQM and why they are false. Of particular interest to us as rationalists:
Very reminiscent of the quantum physics sequence here! I find that this distinction between number of entities and number of postulates is something that I need to remind people of all the time.
META: This is my first post; if I have done anything wrong, or could have done something better, please tell me!