Well, two points.
First, "the Catholic Church" isn't 60 highly motivated Christians in an unchurched town of 10 000 people who share many things in common - theology, geography, social class, more often than not race - who enjoy one another's company and who more often than not practice separationism. They have gone on and called a pastor who aligns with their world view. It's fairly easy for a group of this size - even up to several hundred (although most congregations are smaller) to "get it" - whatever "it" is.
Second, the Catholic Church is a billion living people, and at least that many who have gone before. They are subject to the same splitting tendencies as the Evangelical congregation I've cartooned above (how many Evangelical splits have you seen in your lifetime?), but somehow they have not split, for the most part. The idea that such a global and timeless entity can "get it", the way you mean it, is unreasonable.
Evangelicals excel at shaking the dust off their sandals. Catholics excel at staying together.
It takes all kinds.
Read Mark 9:38-41.
Also the “decision time” is when Catholics at Easter, and also at other times of the year renew their baptism promises. That is the closest thing to an alter call.