Since I'm sure there is little doubt that you would believe any Christian, Jew, Hindu, or Buddhist who would say such things in favor of their own beliefs, one must wonder why your own should not be viewed with the same skeptical eye. Now, as to whether or not the Qu'ran is inerrant in all respects, you may wish to examine and comment upon this collection of contradictions . Indeed, we have them to thank for the preservation of copies of many important documents that would otherwise have been lost forever as a result of various Christian rampages through Alexandria, Greece and other centers of learning in the Mediterranean region. You may wish to examine and comment upon this compilation of some of the evidence . That is what science is currently doing.
Science is study based upon observation.
Anything which exists and which has any effect on any part of the universe can be observed. Anything which does not exist has no such effects and, therefore, can not be observed. Therefore, such a God would fall within the scope of science. There is no logical way to disprove the existence of God by scientific findings. Science's purpose is not to disprove the existence of God, nor is it under any obligation to do so.