[...] More importantly, consider that if you advocate belief in ridiculous things (as above, splitting the Moon, granted, Christians and Jews have no less ridiculous tenets) then people may not find credible your assertions that terrorists are not really Muslim [...]
This is what I understood as what you highlighted in bold text. You said that since I believe in these things, it means that anything else I try to prove is not credible, no matter the logic or rationality behind those ideas.
Note that I agree with you, that Jews and Christians have similar ridiculous beliefs, however if I am Kafir by way of affirming science where it clearly and simply applies, then so be it. Ridiculous beliefs of Muslims are not less ridiculous, they exist equally.
I have worked with and had as friends many from the culture of Islam, most were fairly secular in their orientation and would laugh at this question of the "moon being split asunder". I have known a few who would consider it a serious theological question, but never bothered to discuss. This is no different than Christians who think the world and universe are 6,000 years in age.
Well you might be right about the thing that religions have several stories about "miracles" that are impossible to comprehend by man. But the only thing I can ask you to do, is to try to look past the small things: Yes, Science so far can disprove all the facts about godly miracles that have been told about in all of the religions above, but why don't you try to comprehend any religion as a whole for once, with its most important ideals, timeline, the basics of its existence.
Not just Islam, all of the religions. Try to understand why exactly did the man as a being believe in them, not just once, but several times, decades and centuries after each one of them appeared. Look at the world, your surroundings. Do you really believe that all of existence, was made out of pure coincidence? A big bang created all of life from scratch, and made it exist so meticulously that we wouldn't be burnt by the Sun, but also wouldn't freeze if we were just a few kilometers far away from it? Or choke if the gravity was just slightly less, or get crushed if it was just slightly higher?
What about before the Big bang? Why would the Big bang even happen as an event, if there was no power causing it?
What about the human anatomy, and its perfection, and detailed creation, making all of us live with the utmost ease?
I apologize if this has drifted a bit off-topic, but what I mean is that you should try to read about religion, simply looking for the points to bring down the religion. Try for once in your life, to read on it, with eagerness to understand it, or even embrace it.