First of all..... The Bible is not a primary source,
How do you define "primary source"? The section I quoted was written by someone who knew Jesus personally
it wasn't even a contemporary source when first written down, which was at least a century after his death.
Not at least, the latest... If you're charitable. According to secular scholars, the latest Gospel of John which I quoted was written 60-70 years after Jesus was crucified. That is definitely contemporary for accounts at this point in history. A lot of what we know about other people were written down centuries after.
Secondly, demagogues and those who follow them don't exactly announce their true motivations. So it doesn't really make sense to use their own claims as evidence of their innocence.
Okay then, do you have any evidence on the contrary? That those weren't His motivations?
Lastly, I could just as easily claim Jesus was not killed for his faith, but because he destroyed a temple....
What temple did He destroy? The temple was destroyed in 70AD