Rabbi Carmy wonders if we should challenge the "liberal dogma" and "secularist outlook" imbibed by Jewish youth. I am not sure but assume he means liberal ideas that may conflict with Torah, as opposed to purely political ideas that a Torah Jew is free to accept or reject. It would be interesting to read what Rabbi Carmy thinks these ideas are.
In my view, there is at least a perceived conflict with egalitarianism, inherent goodness of human nature, intellectual autonomy, natural causality (as opposed to Divine providence), aversion to war-punishment-revenge, universalism, liberty, progress (as opposed to "decline of generations"), pleasure as a high priority, and rejection of suffering as possessing redemptive value. We could add rejection of hierarchy and the priority of personal feelings.
I look forward to reading where Jewish educators see conflict (real or apparent) between Torah and secular/liberal outlook.