The word botarían is the conditional form of botar in the third person plural.
See the full botar conjugation

botar

Si las clases dominantes no necesitarían la religión mañana, simplemente la botarían en el basurero industrial, donde siempre terminan las cosas que no sirven a los intereses capitalistas.
If the ruling classes should not need religion tomorrow, they will simply throw it into the industrial dustbin, where all things that do not serve capitalist interests always land.
Si el cae de nuevo, botarian las llaves.
He goes back, they're gonna throw away the keys.
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