General argument for Islam.

[Mudhammam]

This is 2015. Sixteen hundred (1600) years ago would be around 400 AD. The Koran was written between 644-656 when Uthman was caliph.

Because the Codex Sinaiticus was discovered in the 19th Century it's most likely a fraud that was written well before 400 AD.

Cite your evidence. You can claim whatever you want---religionists do it too---but until you provide evidence that it is a fraud, I think we can apply Hitchens' razor: what can be asserted without evidence can be dismissed without evidence.

We do know that the Codex Amiatinus was the real deal. It was written after 692 and three copies were commissioned. One copy was given to the Pope, who didn't have a Bible. http://en.wikipedia.org/wiki/Codex_Amiatinus

So both the Bible and the Koran could have been written as complete books around the same time using various manuscripts and oral stories and pure BS.

Produce an actual Bible before the year 700 other than the Codex Amiatinus.

No problem.
Codex Vaticanus - 4th century.
That gives you two different versions prior to the Koran. Plus, we know the Old Testament was compiled before the Common Era, and numerous Church Fathers in the first few centuries of Christianity cite their preferences for what New Testament works they considered sacred. So, we have a pretty good idea of when and how the Bible was written and compiled, and it's nothing at all like the picture in your head.