"feel they are not entitled to their beliefs"

When there's polarization in a society where a majority of population out-vote a minority on every proposal, said minority has all motivation to withdraw from public politics and secede.

Imagine a country with 60% big-endians and 40% little-endians. Big-endians own every president, every senate and every vote they care to win. Little-endians have no sensible choice but to split into their own country where they'll be a majority, perhaps with civil war and ethnic cleansings in the process.