What do you mean no other option? There are certainly other options. One could remain agnostic on the issue. Or one could believe that, though we have observed consistency, there is no reason to suppose that the universe will continue to be consistent.
The other option is the complete cessation of rational thought and deliberation of reality. Otherwise this proposition is axiomatic to all other propositions.
Science uses this proposition because it works, if it ceases to work science will cease.
The proposition is not a religious one but rather a pragmatic one that religion shares.
Of course you could mean that we need to believe in a consistent universe. On that point I would agree. But this need is not itself a reason to believe. You need a consistent universe but this belief can only be had in a theistic worldview. So atheists co-opt the belief but because they are personally offended by the idea of God they don't take it to it's logical conclusion.
I fully agree that all persons hold this belief. But only the Bible gives a reason for the belief.
We need that proposition to have any rational thoughts.
The Bible gives us
an explanation for the proposition (although I would not really call it that as it I have questions as to what it "explains") not necessarily the reason. To hold this to be true merely assumes your conclusion so your not making an argument here but an assertion.
It is certainly possible to hold the proposition true and not believe in God so no your assertion that it can only be supported in a theistic worldview is simply wrong.
Simply assuming God is the explanation for a consistent universe and then asserting because the universe is consistent therefore God exists is what we call begging the question, and you are doing it rather directly.
P1 God is the only explanation for a consistent universe
P2 The universe is consistent
... Therefore God exists.
P1 is the issue of debate. You have to show God exists to show that it is the only explanation for something.
The argument is also invalid. P2 being false doesn't disprove God it disproves your interpretation of God so the conclusion doesn't follow from the truth of the premises.