Please visit a grammar and punctuation book: "Amerrican's remain that strange breed of cat that loves winners and turns their back on losers."
You meant: Americans (plural, not singular possessive; one "r" not two) remain that strange breed of cats (plural like the subject, Americans) that love (plural) winners and turn (plural) their backs (plural) on losers.
We've got a great language. Use it to benefit your expression of your feelings, not distract from it.
XOXO The Antiquarian Grammarian