After being raised Catholic and then spending many years around Protestants of all denominations, I found that all Christian denominations have both right and left wingers.
However, I also found that Catholic teachings are neither left nor right, but those teachings sometimes fall into both camps. For example, the Catholic Church is pro-life in all cases: It opposes both abortion and capital punishment.
Well, sort of. Some recent popes have opposed capital punishment, but honest theologians will admit that reasonable Catholics can legitimately disagree on that.
Ratzinger, 2004 memo:
” While the Church exhorts civil authorities to seek peace, not war, and to exercise discretion and mercy in imposing punishment on criminals, it may still be permissible to take up arms to repel an aggressor or to have recourse to capital punishment. There may be a legitimate diversity of opinion even among Catholics about waging war and applying the death penalty, but not however with regard to abortion and euthanasia.”