I've read neither in about 20 years since taking a comparative religion class at school.
It's the same God in both the OT and the NT. I wonder why, when Christianity's holy book's text is looked at, people leap through hoops to try to break apart the trinity or add all sorts of explanations for the hideous, God-sanctioned behaviour, with the Qu'ran it's apparently a factual guide book and evidence that all Muslims are violent psychopaths. It's all bullshit. Most Christians don't live by the Bible just as most Muslims don't live by the Qu'ran.
What you've got to remember is that the Qu'ran is selectively quoted out of context deliberately by people who have an irrational hate of Muslims. They do this because often the context doesn't support their point.
If you selectively quoted the bible, it looks just as bad. Zechariah 12:3 for example tells Christians to kill false prophets, Leviticus made it clear it's OK to keep slaves, then there is the well known example of Ezekiel 25:17 (think pulp fiction). In fact the entire story of Ezekiel 25 is pretty violent and advocates killing an entire people, the thing is, I know this is a story, a work of fiction the same as verses in the Qu'ran are poems built in the same manner. If you take individual parts of Ezekiel 25 it sounds like commands from god to kill the Ammonites, but in context its part of a story.
It's a case of "figures dont lie, but liars figure".
But whatever. This discussion is pointless. Neither book is at all suitable for teaching how to behave to your fellow man.
Erm, pretty much.
Almost all Christians ignore things like Leviticus on slaves, by the same token almost all Muslims dont take "kill the unbeliever" literally.