You are entirely correct, the majority of [fill in the denomination] laity did not choose it, they learned from their parents. I did not, I went in search of a religion that espoused what was in my heart and mind about God and Christ. I ended up, after exploring many denominations along the way, a Byzantine Catholic (think: Orthodox without the polemics).
What attracted me to Catholicism? Besides the sense of tradition (which since Vatican II is stronger in the Byzantine part of the church than the Roman for the most part), the overaching thing that caught my eye at an intellectual level was that the Church was open, maintaining that truth withstands the light of scrutiny.
While one can point to any number of secular misdeeds by the Church, errancy and inconsistency of doctrine and dogma is not among them. Do views change? Yes, because we gain new-found understanding of Scripture as we, as human beings, mature; we can then look at doctrines and revise them. Just as a 30-year-old revises the world-view they held at 18.
Yet, even in revision, there are principles of the faith that do not fall to the convenience of relativistic morals.
So a person takes up the mantle of their forebear’s faith. Understandable, children learn all manner of things from their parents. Yet, we are taught to question, too. Has everything taught by your parents proved to be true? Of course not.
So the door to examine the implementation of your parents’ faith (that is, as a unified body) is there for all as well. There is no lack of information available for those who seek it out. And, with an open mind (which is singularly the largest obstacle) and prayer, the truth will come.