I strongly recommend against trying to get your poetry published in anarchist publications, or even presenting it as being 'anarchist poetry'. Look for poetry journals and literary magazines that publish writers you admire and who write similar shit, and submit your stuff to them. Make a chapbook. Enter contests. Start your own journal. If you're serious about writing poetry you should look for an audience that is serious about reading poetry.
I'm not sure what your writing is like, but here is a list of a few literary journals you might want to check out: Coconut Poetry, Action Yes, La Petite Zine, Shampoo Poetry, With + Stand...
And figure out a way to make sure that rejection will motivate you to write better, instead of less, because you /will/ get rejected.