By definition the Church cannot be either secular or atheist, although some cardinal now claim doubts about God, but they don't quit because they like the lifestyle. Liberal is not a term, more Moderist (although if you accept Vatican II, the Modernists already won, at least until HV and JPII. Humanist? I hope so. If God depends on the Church for his perfection that atheism might be a good option. If God depends on me for his well being, he would not be much of a God. I think some of the overly pious forget that.