On the topic of religion and science, let us be clear about something: we're not actually talking about religion or faith in any generic sense. In this discussion we've zeroed in pretty quickly on discussing monotheism, and
Christianity in particular... just like pretty much everyone in America and Western culture more broadly (which is to say, the vast majority of Star Trek's audience) is prone to do.
Trek itself, like much SF, has historically avoided that kind of tunnel vision; when it's tackled these topics it has been in the form of some ancient belief system (as in "Who Mourns..."), or some invented alien religion (as in DS9). As with other political and social topics, it uses allegory as an effective tool to get past people's mental defense mechanisms.
That'll only get you so far, however. Religious believers are always more than ready to dismiss
other belief systems as outdated, as illogical, as mere mythology... but they'll bend over backwards to rationalize exceptions for
their own.
What I'm trying to say is that you can believe in God and scientific truth. It's not mutually exclusive. This is why I used Bakker as an example. The guy factually knows that the Earth is 4.5 billion years old and completely accepts it but also preaches about God on the weekend. Religion and science coexist perfectly for him.
...I know that you cannot tar and feather religion as being solely oppressive or restrictive nor can you tar all religious people as backwards thinking science deniers. For a lot of people Religion and Science is not a binary situation, they make it work and it's not a matter of one over the other.
I don't doubt that many people "make it work." Bakker, for instance, is a proponent of "theistic evolution," the notion that evolution is a tool used and directed by God to achieve certain ends in the natural world.
The problem is, evolutionary theory has no need of that hypothesis. It works just fine in a completely natural context, with no supernatural intervention. Efforts along these lines inevitably involve some sort of awkward synthesis of frankly unrelated ideas. Heck, three centuries ago Isaac Newton of all people was a devout believer who maintained that God had to intervene periodically to keep the cosmos running smoothly, because his work showed that otherwise it would run down. He was wrong; brilliant though he was, his calculations simply weren't quite accurate.
Bottom line, look at the roles of religion and science throughout human history. What do we get when we have religion without science? The Dark Ages. What do we get when we have science without religion? Well, strictly speaking we've never tried it, but we're getting asymptotically closer over time, and it's fair to say that the answer is modern civilization, and all the progress and quality of life that comes with it.
Faith and science are far from incompatible and the false dichotomy between the two is based on ignorance as much as are the worst excesses of each. The issue comes from the false premise that each seeks or should seek the same purpose, they don't...
Science is the (supposedly, but in reality not always) objective process of analysis of that which is testable, that which exists within the framework of the observable universe.
...One cannot prove or disprove the existence of god because he/she is by definition outside of the rules of the universe which is his/her creation, outside of that framework of testable processes of which we are a part. Science can have nothing to say here. Religions's role is largely about the values it assigns to behaviours and attitudes...
What you're offering here is a variation on what I mentioned upthread, Gould's notion of non-overlapping magisteria.
It doesn't really hold up. "That which exists within the framework of the observable universe" is another way of saying "everything." Logically speaking, nothing is "outside the natural universe"; whatever exists in any way that affects or interacts with the natural universe is
ipso facto part of the natural universe.
It is, of course, possible to have a conversation about human behaviors and attitudes and values that's not strictly about empirical observations (although it should certainly be grounded in them). That's what psychology and philosophy are for, moral philosophy in particular. Those are secular endeavors as well, however; they have no need of any supernatural considerations. Whenever religion attempts to tackle the same questions, it merely tacks on extraneous superfluities.
...God, or the lack thereof cannot be empirically demonstrated and the efficacy of the scientific method stops at the point an hypothesis becomes untestable. ...
Equally I understand that faith could never explain the workings of our universe...
All you're doing here is defining "God" down to something that's so insignificant that he/she/it has no bearing whatsoever on humanity or the universe we live in.
It doesn't really work, though. The hypothesis "God does not exist" is not one that requires testing. It's the null hypothesis. The affirmative claim is that "God exists." If it's not testable, it's a useless hypothesis and should be rejected.
Moreover, even if you manage to insulate God in this way, what you've managed to preserve is at best a sort of abstract Deism. It's not the concept of God most believers (certainly most Christians) actually believe in. That God, the God of the Bible, the omnipotent, omniscient, omnipresent God who created humanity and our world; who intervenes in it regularly; who plays favorites with us; who tests us, judges us, forgives us; who communicates with us; who answers our prayers; who controls our fates... that version of God is another matter entirely. The proposition that such a God exists is one that very much
can be tested empirically... and it fails every test.
Biblical Christianity, and the body of doctrines that has accumulated around it, make
loads of truth claims about the workings of our universe. The vast majority of them don't hold up, which is no surprise, because they were devised in the Iron Age by people who lacked the scientific method. We can abandon all those claims, of course, and argue that God and Christianity are really only whatever's left over... but that's basically just an exercise in No-True-Scotsmanism, and honestly, what's the point of it?