I think the state of this world puts serious doubt on the claim that God is omnibenevolent and omnipotent. However, I would not call the state of this world a demonstration that God is illogical, nor would I call people who believe that God is omnibenevolent and omnipotent illogical for believing that God is not illogical. I just think they’re wrong.
The CCC says:
IV. HOW CAN WE SPEAK ABOUT GOD?
39 In defending the ability of human reason to know God, the Church is expressing her confidence in the possibility of speaking about him to all men and with all men, and therefore of dialogue with other religions, with philosophy and science, as well as with unbelievers and atheists.
40 Since our knowledge of God is limited, our language about him is equally so. We can name God only by taking creatures as our starting point, and in accordance with our limited human ways of knowing and thinking.
41 All creatures bear a certain resemblance to God, most especially man, created in the image and likeness of God. The manifold perfections of creatures - their truth, their goodness, their beauty all reflect the infinite perfection of God. Consequently we can name God by taking his creatures" perfections as our starting point, “for from the greatness and beauty of created things comes a corresponding perception of their Creator”.
42 God transcends all creatures. We must therefore continually purify our language of everything in it that is limited, image-bound or imperfect, if we are not to confuse our image of God–“the inexpressible, the incomprehensible, the invisible, the ungraspable”–with our human representations. Our human words always fall short of the mystery of God.
43 Admittedly, in speaking about God like this, our language is using human modes of expression; nevertheless it really does attain to God himself, though unable to express him in his infinite simplicity. Likewise, we must recall that “between Creator and creature no similitude can be expressed without implying an even greater dissimilitude”; and that “concerning God, we cannot grasp what he is, but only what he is not, and how other beings stand in relation to him.”
The less we say about God, the less we try to use our puny language skills, the more logical and rational we are being though. I would say God is a mystery, and that’s that. Incomprensible, inexpressible, ungraspable.

The more words we use to describe God, the more we (and by we, I mean you guys, theists) are just expressing [y]our wishful thoughts, [y]our desire to understand the world, and you demonstrate how practically everything you think about God is based on faith and revelation, not reason or reality.
To me, the rationality of an individual depends on how much they are willing to say they understand God. The more they say, the less rational they are being. So far the people on this thread have not said anything terribly irrational IMO.

I think Starfire has done an adequate job explaining the whole need/desire thing, and Wardog has adequately expained the love thing. I don’t actually agree with them, but I think they have expressed their beliefs in an acceptably logical way.