This is a serious question. We should always challenge our preconceptions. To take your examples:
1. Traditional Judeo-Christian religions all claim we should believe because of claims made in holy books of questionable provenance, held by primitive people who believed things like (for example) disease being caused by demons. What rational reason is there for believing these holy books to be particularly truthful? (I was careful to not include Buddhism, whose basis is in experiences that people have while in altered states of consciousness from meditation.)
2. The shortcomings of libertarianism involve various tragedies of the commons. (My favorite book on this being, The Logic of Collective Action.) However the evidence in favor of most government interventions is rather weak. And the evidence is very strong that well-intended government interventions predictably will, after regulatory capture, wind creating severe problems of their own. How do you know that the interventions which you like will actually lead to good results? (Note, both major US parties are uneasy coalitions of convenience kept together through the only electoral realities of winner takes all. On the left, big labor and environmentalism are also uncomfortable bedfellows.)
3. To the extent that the observer is described by quantum mechanics, many-worlds is provably a correct description of the process of observation. In the absence of concrete evidence that quantum mechanics breaks down for observers like us, what rational reason is there to advocate for any other interpretation? (The fact that it completely violates our preconceptions about how the world should work is an emotional argument, not a rational one.)