Animals become extinct because people don't care enough about them.
Animals get wiped off the face of the planet because people don't give them enough thought.
この場合、次のような言い方ができますよ。
ーAnimals become extinct because people don't care enough about them.
「動物が絶滅するのは人々が動物のことを十分気にしないからだ」
to become extinct で「絶滅する」
ーAnimals get wiped off the face of the planet because people don't give them enough thought.
「動物が地球上から絶滅するのは、人々が動物のことを十分考えないからだ」
to get wiped off で「絶滅する」とも言えます。
ご参考まで!