I think the American conservatives are right religious nuts rather than just right extremist.

Both are true.

Well that's not how that works.

Right wing means you believe that some people are naturally better than others.

Right-wing politics is the range of political ideologies that view certain social orders and hierarchies as inevitable, natural, normal, or desirable,[1][2][3] typically supporting this position in favour of conservatism, natural law, economics, authority, property, religion, or tradition.[4][5][6][7][8][9][10] Hierarchy and inequality may be seen as natural results of traditional social differences[11][12] or competition in market economies.