No, the first two amendments were not what the United States federation was built on. If they were, there wouldn't have been a need to add them as amendments, as they would have been the core of the Constitution, stated in the very beginning of it.
We began the revolution over taxation and having no say in governance from abroad. The Boston Tea Party. Look it up. The actual fighting with arms began when the British tried to confiscate a cache of weapons stockpiled to be used by militia against said British.
The right to bear arms is a right to get conscripted into military service because the fledgling United States couldn't even afford to make money, let alone pay anybody with it. It gives adult white males the right to get drafted at a moment's notice, and they had to be prepared to do so complete with their own weapons.
Getting pressed into military service does not enforce the right to life, it takes it away. That's what soldiers do in war. They kill.
The Founding Fathers did not draw their ideals from the Bible. Most of them were agnostic at best. They did see value in religion as a means of providing people a common cultural core, a moral compass, a way to keep them in control. Regardless of their beliefs, having been raised Christians in a Christian society obviously framed their mentality.