Well, first off, his use of "rational logic" is debatable, but I digress. I dislike Dawkins, when it comes to him and religion because, whenever someone asks him a question he doesn't like or can't answer, he makes a snide or condescending comment which doesn't even attempt to address the question.
I am going to have to ask for a concrete example again.
I call Dawkins arrogant and rude not because he's an atheist nor questions religion-- I could care less about that-- But because he is a pompous, arrogant <enter appropriate word here>. Seriously. Why would I, or anyone, listen to someone who calls you dumb and tells you that you have a disease?
Wow - what can I say? I don't see him as arrogant. Actually, he seems pretty humble on TV. He's not like some clerics in the religion of peace who spout damning judgements "this is wrong, you must die, you're gonna burn in hell, inshallah!"
Tell me, what exactly is arrogant about him?
Dawkins isn't the only atheist in the world. Ever wonder why he gets a disproportionate amount of criticism/hate?
Because he's the famous one?

Don't forget he also gets a lot of praise, also disproportionate in comparison to other atheists.
Or because he's the one who actually cares to go to the offensive against religion? I know, religion expect us atheists to shut up and hide in the darkness where our evil ideas can't harm the flock, until we finally die and go to hell to be tortured for eternity for being rational, but that's just it, isn't it? Dawkins won't shut up - how impudent is that! Let's launch a vicious smear campaign!
/sarcasm
...Or, it could do with the fact that he insults those who disagree with him. It's not this hard to understand. Seriously. It's not.
Actually, it is without you supporting this assertion with some sort of proof. I've never seen ANYTHING coming from his mouth that could be possibly considered as insulting in certain reasonable limits.
If I tell you that you're wrong and explain why, it won't be an insult, but I can't prevent you from seeing it as insult.
If I told you, hypothetically, that you were a stupid idiot, that would be universally considered as an insult and you'd be right to feel offended.
See the difference? Perception =//= fact. I want a solid example of Dawkins acting in what we all would agree is a rude, insulting way of dismissing an opponent.