It’s perfectly understandable, in my opinion, to find good things in the teachings of Jesus Christ or any other figure, mythical or otherwise. But to base your life on the teachings of Jesus as they are portrayed in the Bible and claim that you are not religious is disingenuous.
While it may be impossible to 'disprove' the existence of some 'Higher Power' or abstract Creator, it is entirely possible - through analysis and research - to find discrepancies within the ancient, organized religious traditions that support the idea of a specific God.
Isn't it amazing that, historically, the "Prince of Peace" has most often been introduced to new cultures through extreme violence? European and American colonialists bring this disparity to light in a way that makes me wish that forced conversion didn't work so extraordinarily well.