counter the common

Often poets write against popular sentiment and the common viewpoint.

with all they have

The worst of the formalist poets are most vehemently opposed to free verse.

two kinds of new

An avant-garde that just is or an avant-garde that exists only as against tradition

take a disliking to

Try to write the kind of poem you’re disinclined to like.

against is all

They who can’t define their art other than in antithesis.