Neocons are crypto-Zionists, supporters of unjust wars, shills for Fɾҽҽmαsσɳɾყ, objective deniers of the Social Kingship of Christ, crypto-Protestant in many respects, ardent defenders of false liberty and egalitarianism, race baiters as base as the most flaming liberals, religious indifferentists, and, in short, devotees of so many errors inimical to the Catholic Faith that one cannot speak of a Neocon as being "Catholic" in any real sense.
We have more than a few of these reprehensible creatures scurrying about this forum - and in Traditional parishes and chapels.
I think these Neocons should be confronted with their errors and be corrected in fraternal charity.
If, however, they remain pigheadedly intransigent in their errors, I think they should be shunned and banned as surely as any other stubborn partisan of any other grave error would be.
They are a cancer in the body of Traditional Catholicism... all the more so since many new to the Faith and those who are young and naive can often not discern the difference between Tradition and "conservatism."
Any Traditional Catholic community - including this forum - would be wise to weed those who will not be corrected out, lest scandals and corruption ensue (see Fisheaters).