I think the key is respecting the different disciplines, one is science the other theology, one concerned with 'how' the other with 'why'.
Unlike the answers from science, the "answers" from religion can't be used for anything. Why is there suffering? God wills it. What happens after death? God will judge you, or you will come back as another creature. If I frame these same questions in yes or no form, I can also get answers from a Magic 8-Ball. Is there an afterlife? "Signs point to yes." Oh, that's great news! Is Christianity the true religion? "Yes definitely." Now I have my answers.
If that's all one wants is an answer based in nothing without any concern about whether it is correct or useful, he can go to religion for that, but he need not. A Ouija board or an astrologer can also give answers.
And why should one respect theology, but not the Magic 8-Ball?
So if we go by science versus religion (as a value system) useful belongs to religion.
Really? I don't think you could be more wrong. What use is religion? What ideas does it generate are useful? I have found none.
You do realize, do you not, that you used the fruits of science (the Internet) to tell the world that religion is more useful than science?
Science has made some leaps of faith (dark matter causes acceleration of the expansion of the universe)(string theory might be right)....etc.
Neither of those is a leap of faith. Data suggests that the rate of universal expansion is accelerating. Existing physics could not account for that. The cause is unknown, but has been given a name. The concept of dark matter and even of accelerating expansion are provisional.
There is also no faith required to believe that some variation of string theory will eventually prove to have explanatory and predictive power.
Faith is unjustified belief. There is no unjustified belief involved with either concept. Faith is when you go from, "There might be a god" (my position) to "There is (or is not) a god."
If both theists and scientists argue about the age of the earth, they have a connection (though both disagree).
Whenever theists and scientists have disagreed, the scientists have been shown to be correct. Every time. Your example is a prime example of that. Theists say that there was a Great Flood. Scientists disagreed. They were correct. Theists say that the universe was created in six days. Scientists disagree. The scientists are correct. Theists say that humanity began as de novo as a pair of people intelligently designed. Science says that that is incorrect. Science is right.
I really don't understand all of this lip service paid to religion and faith being of value as different but complimentary ways of discerning truth. What truth? Only empiricism has contributed to man's fund of knowledge, not faith.
I've just been through this on another thread, where theists are exasperated at empiricists requiring compelling evidence before believing. They point their fingers and say, "Scientism!" and mean it in a critical sense. They imply that their softer, faith-based ways of "knowing" generates useful knowledge that the empiricists are missing out on, who they say rely excessively on evidence prior to belief.
But there is not an iota of evidence provided to support that view. I ask what useful insights have you gleaned by indulging in these other ways of knowing, and none are forthcoming. Over and over we see praise for religion and faith, but what are their fruits?