My friend, you cannot use science to prove anything in the Bible. If you do, it ceases to be science and becomes scienticism. Science is about emperical data, where proof is necessary.
Faith is not concerned with emperical data but what transcends it and proof isn't an aspect of it. In otherwords, it is not an object of science. For instance, no one is able to prove how God created the world and how he even created Adam and Eve and you and me.
Faith is concerned with trust and certanity about God and his saving justice. When we read the Bible, we want to meditate about God and come in touch with our God-self. In this way, we nourish, nurture and strengthen our relationship with God and with one another through the inspiration we get from his word but we cannot prove how that inspiration has come about although we can share about it with others.
So, it doesn't matter whether one has to prove to you that there was only one Moses or there were two in order to make the Bible say the truth. It is up to you to see if it makes sense for you or not. Actually, you cannot force faith but you can only allow it to grow.
Mind you, the Bible is meant for believers - those who can read it and make sense out of it - but not those who make it a history or science book. Ours is 'faith seeking understanding' and not faith that can be proved scientifically.
Since all human knowledge is approximate and not absolute, where science fails to explain something we use another discipline, which is equipped with the tools of explaining what is beyond science - metaphysics or ontology. Faith falls in this category. I wouldn't prove to you whether there was only one Moses or there were two.
What I can do, though, is to advise you to meditate or reflect on what you read in the Bible. There are some Biblical commentaries that can help you understand the context or milieu of a certain era: eg. the time of Moses, Jesus, the first Christian community etc. It's up to you to add on what you know already but certainly science or scientifc proofs will not help you in this.
Have you read, for instance, that when giving evidence in court what is important is relevant evidence (although not all relevant evidence is admissible in court) not logic although we know that logic is an important aspect in arguments! So, does faith and science. Scientific proofs are necessary in life but they do not offer much help in faith. Faith is irrational but that, which makes sense (brings meaning to fundamental questions) to a believer.