The xmen literally fight for the status quo. The status quo is bad for mutants, but they want to keep it for some reason.
Not quite. Professor X believes that humans will eventually overcome their inherit racism and would be able to live with mutants in peace. He also believes any act of violence from the mutants will push this ideal future further and further (he also does not agree on hurting humans indiscriminately because not all humans are rabid racists)
Whether Professor X is enlightened or just naive, well that's another story