To make equal; to reduce to an average; to make such an allowance or correction in as will reduce to a common standard of comparison; to reduce to mean time or motion; as, to equate payments; to equate lines of railroad for grades or curves; equated distances.
We can't equate democracy with Christianity because the largest democracy on earth is India, which is primarily Hindu. The third largest democracy is Indonesia, which is Islamic. Democracy and freedom are not dependent on Christian beliefs. Jimmy Carter