What is the relative value of the pursuit of rationality and intellectual honesty, versus protecting the happiness of your family and closest friends? It turns out that, when religion gets involved, this is a real choice individuals may have to make.
Yes, it is a rather common question here. In my experience, there is often a way to do both, though it is rarely obvious or easy. Feel free to give the details, and maybe people can help you figure out how you can win without being dishonest.
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I can't tell, from your post, what kind of propositions you are trying to convince yourself of. If it's an attempt to win competitions, then you're putting your effort in the wrong place. Whether you win any given competition is largely going to be determined by who else shows up to compete. Improving your chances means reducing the number of people who can reliably beat you, and that only happens through research and practice (since murdering competitors is generally seen as bad sportsmanship).
Other than that, it sounds like you've discovered the flaw in Pascal's original wager (well, one of its flaws anyway). You can decide it's rational to believe something, but actually believing it is a different matter. In religion, actual belief is key, and therefore Pascal's wager isn't going to make a lot of true converts, even though it's a beautiful piece of reasoning.
I am having a similar issue, and am currently dealing with it by developing better acting skills. As long as I do and say things consistent with the belief set I wish I had (and don't), my ends are achieved regardless of whether I actually hold that belief set. This may or may not be applicable to your situation.