I think you are spot on about our education system.
Just to weave what you said in to this thread, I don’t think everyone needs to be a Physicist or a Theologian for an example to accept the truths in those fields or necessarily verify them. But one would need to be reasonable in choosing who to believe in a certain field of knowledge. One would also need to know which question belongs to which field.
I think today we have a failure on both of the above. Most students aren’t taught who to believe. They just look it up on the internet and believe anything and anyone as authoritative in a field. With the lack of subjects like Philosophy, most students do not even understand the limitations and scope of ones own field. This is probably why someone like Stephen Hawking would try to answer the philosophical question of ‘something from nothing’ and also be able get away with it.
The crux when it comes to religion is that Theologically important concepts are usually not verifiable (until one is dead at which point it is too late anyway). They are transcendent truths. What we do in Theology is we accept the truths by faith and then infer from it using logical and philosophical rules of inference. We cannot however verify theologically that the basic theological truths we initially accepted are true. But you would still see many who would like carry out the debate of a certain religion vs. another strictly on the theological plane. This gets nowhere because in the end, each party would simply be trying to show some inconsistency between two or more theological results of the other to prove that religion wrong. But usually there exists solutions to reconcile these seeming inconsistencies in most cases and more problematically, even if there wasn’t, it wouldn’t prove ones own religion true. Logical consistency by it-self does not imply that it mirrors the transcendent truths perfectly.
So unlike in other fields, religion is kind of unique in that it comes down to accepting an authority. We cannot become an authority in transcendent truths because we cannot study the transcendent by our-self. Therefore, we have to evaluate each person who claims to be an authority regarding the transcendent to see if he/she is worth believing. In our present world, we have Lord Buddha, Prophet M., Jesus Christ and others who claimed to be authorities regarding the transcendent. But there has to be reasons to believe any of the three have authority and just their word is not enough.
In my analysis, Jesus Christ seems to be the only authoritative figure in this case by the fact of his resurrection. The others simply lack any reason to consider them authoritative. If a person wants to rise from the dead, and be happy, it seems like the reasonable thing to do is listen to someone who has done just that. However, after realizing this point, that person has no choice but to give assent to the teachings of Christ on Faith. Some of the teachings might be verifiable through philosophical analysis (Reason) but that is just a bonus. Now since a person does not have direct access to learn from Christ himself, that person would have to turn to the Apostles. But since a person today does not have direct access to the Apostles, he/she will have to turn to the Apostolic successors instituted by them to learn the teachings of Christ. This is how one would arrive at the Catholic Church through reason and then become a Catholic by accepting the truths taught by faith (& also through reason when possible).
But rather than go this route, our society has fallen in to this comfort zone where we just go “What you believe is your faith, what I believe is mine, no ones wrong, there is no logical way for you to arrive at my faith (this one sort of falls under the heresy of Modernism too I think), you just need to believe, we are all correct, lets just get along”. Then comes the loss of any faith because someone will ask the inevitable question “if we cannot know which of these religions that preach so many different things is worthy of belief, why believe in any of them”.