USResident
The data gathering from a religious perspective will create a different basis and hypotheses for that data gathering to a secular scientific data gathering process. So although the same set of phenomena can bring about the same conclusions it is not always going to be the case that one method will not negate the other. Rather one set of phenomena can be plausible for more than one hypothesis. And these hypotheses could be completely in disagreement with one another.
The unfortunate thing with modern scientific research is that data which either says nothing about the hypothesis or even seemingly negates it is often ignored. The reason being that most Western led research is based on findings rather than truth. The arrogance in society permeates through to the scientific level and people want to show how they were right rather than what is the truth. Faith based research should be better at doing a fair test provided the people are indeed searching for truth. Afterall it concerns them on a personal level rather than a professional level.
Logic and science dictates that to prove something true it needs to be given a falsification test, which if passed proves the idea and if fails means the idea is wrong. This language of focussing on negation rather than affirmation is Islamic. We say “La’ ilaha ilAllah” that there is NO god but Allah. The Qur’an brings its falsification test that if any one can bring a verse that compares to it then that will warrant the claims of it to be from other than Allah (SWT). Rather than finding ways to prove something we should always develop a theory and see what will be required to disprove it. We only need one piece of data to do this.
Science has fallen by the way side when it comes to archaeology and evolution in these domains we no longer seek to disprove our theories rather we are on the ongoing pursuit of finding the missing link. This missing link is one of a theory that is brought forward by a human being who did not present to the world a falsification test of that theory. Always ask a theorist for the falsification test that way you can determine whether the theory is true or not easily.
Nice prelude for Point 3 - Hypothesis.
So what shall be the phenomena for which we produce the hypothesis. Shall it be the existence of God or the phenomena of our existence. I would prefer our existence since it is a phenomena of which both religion and science have a grasp of and laden with abundance of theories from both religious and scientific perspectives.