A logical mind knows that the most fundamental law of logic is the law of non-contradiction: something cannot be both true and not true. A logical mind furthermore would not reject all religions simply because they contradict each other. If I tell you that my mother is 50 years old and my brother tells you that my mother is 35 years old, would it be logical to conclude that I don't have a mother, or that if I do, she was born in both 1959 and in 1974? Or would you believe that she was indeed born at one specific time, whether or not you'll ever know what that time was? When people disagree, don't just throw everything out; examine their claims and determine as best as you can which, if either, is right. And finally, a logical mind would recognize that it is rationally impossible not to accept one belief system as correct and reject all others. Even if your belief system doesn't include any gods and doesn't have any official authorities and doesn't fit your or the dictionary's definition of "religion," it's still a belief system; it still answers the big meaning of life questions.
I don't ignore the other religions, I just don't think they're true. And to paraphrase a former president, I believe my beliefs are right. That is, my belief system of Christianity is framed by a belief that absolute reality exists. I believe that if God does exist, he would exist whether or not I believed in him, and furthermore, he would also exist for other people, whether they believe in him or not. I believe that there is objective, universal, logically consistent truth out there, and that it can probably be at least partially discovered, deduced, and understood (and that it's important enough that we should try as hard as we can to know it). Based on that, I, and most other people, examine belief systems and evaluate how likely it is that they are true.
Hope that made sense, considering it's way past my bedtime again.
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