In very broad strokes, religion can be compatible with science. But you can’t really take the details of current religious texts too seriously (barring extraordinary evidence emerging). So what does it mean for someone to “follow a bible” and still believe in science?
Take creation myths, for example. Can you believe a deity created man directly? Can you believe in a great flood? Miracles? Not really, at least not entirely. Science has a pretty detailed map of how man developed, contradicting creation myths. Barring evidence, creation myths are the opposite of science. Same with the great flood. While it sounds like a heavily watered-down account of a mass extinction, unless ancient scientists had their accounts heavily bastardized, it’s just another myth.
As for miracles, science rejects them absolutely. A miracle to science is either a false account, a major coincidence (low-probability event), something that is not yet understood, or some combination of these. Science rejects the genuine meaning of the term, though. That’s something like, “an event that defies coherent reality entirely in favor of the whims of some preternatural scheme or order.” If reality makes sense at all, it must be consistent. Half-assed realities make for bad avant-garde films that inevitably punt on so many details as to make them unwatchable.
Can we even believe in an agent infinite in time?
Maybe. We know the universe has a long lifetime, if not infinite. We know some things about what it really probably means for something to exist in time. Namely we know it changes. Time requires change, insofar as the thing itself must change, or at least its surroundings change relative to it.
So there may be some specks of dust in the universe that are almost its age and have not changed, except their position has. Their environment has.
Can the same be said of a deity? Could a god exist in rigid, unchanging form? And, if so, what does the fact of the universe changing do to the properties of that god?
Books like the Christian bibles depict their gods as having emotional states. That would require some sort of change. A common claim in religious debates is that gods and deities are timeless, but that would seem to preclude interactions. A modified argument might state that gods are over time, or beyond it, but can still act within it. But acting within it is still a temporal change.
Rigidity is not obviously a feature rather than a bug, either. The ability for change is one of the greatest forces science knows. The principles of evolution are surely too powerful to be ignored by a deity, and yet there are many theists that deny the power of evolutionary systems (which, so far, it appears all systems are).
When you have a good grasp of the reach of science, what room is left for gods? Some does remain. Sustainable religion is something more akin to a moral code. But even that is chewed by science, so that it must not make proclamations against behaviors without reason. What remains is the ideal of a being having greater insight and cognitive capacity than man making moral decisions based on more-perfect knowledge.
Religion is about 1% compatible with science. When you strip away its historical inaccuracies, its prejudiced pseudomorality, what’s left is mostly something like the Golden Rule or a bit of sentiment about man’s place in the world being to do good and be kind.
And what of a personal relationship with a specific deity or deity-proxy? As long as it stays in the confines of your skull, it’s your business. Unless science can see it, you probably won’t get the benefit of the doubt from the science-minded anymore than someone that claimed to be in telepathic contact with extra-terrestrials. But if it gives you joy to play hyper-chess with Gleep-glorp, and you’re not harming others or blocking their rights, don’t let us stop you.
The notion of trust in a god is still interesting. Due to the superstitious nature of man, having trust is important. In a world where governments, institutions, individuals, and systems can and do break down, having a trust that some fabric is forever unstained appeals to us. But that trust often ends up in the hands of religious zealots. And they, in turn, often cause or contribute to the very calamities that the trust is meant to protect from.
Religion is a nice social activity. If treated as such, rather than as a lifestyle that dictates behavior, it is fine. 99% of the time, that’s all it appears to be used for. Folks, aspiring to be better, getting together and helping each other. That’s wonderful. It’s only when it becomes a cause for mob ethics, anti-equality, and the like, that it really starts to be a problem. And most of those behaviors are provoked not by religion, but simply use the religious groups as their shield.