I enjoy a good debate Ben. Polaris HASN'T been stationary, that's the flaw in your premise.
3000 BCE: Thuban was the pole star, not Polaris (Egyptian records prove this). Polaris is currently 0.7° off true north. In 12,000 years, Vega takes over.
It's called axial precession, which is a 26,000 year cycle we can measure. Check ancient navigation records yourself.
Background:

Space
Has Polaris always been the North Star? How Earth
Lets take a trip through time.