If God could be "proved" with the scientific method then there would be no need of something called "faith". If there was "proof" of His existence then there would have been no need of the scriptures to speak so strongly about faith.
I, along with millions of other Christians believe that God, yes a REAL and living God, has given us the precious gift of life by creating man and a world for us to live on. He even offers us immortality and everlasting life in return for one little thing....... FAITH, faith that He exists. The concept is so simple that many people think themselves too "intellegent" to believe. To me that's the beauty of the requirement God had laid upon us. It serves as a real test of who loves Him.
There are many many theories that these same unbelieving people find so easy to believe in, that have never been actually proven by the scientific method either..... and yet they find it so hard to apply faith to God. Why is that?
"Death is naked before God; Destruction lies uncovered. He spreads out the northern skies over empty space; he suspends the earth over nothing. He wraps up the waters in his clouds, yet the clouds do not burst under their weight. He covers the face of the full moon, spreading his clouds over it. He marks out the horizon on the face of the waters for a boundary between light and darkness. .....And these are but the outer fringe of his works; how faint the whisper we hear of him! Who then can understand the thunder of his power? (Job 26)
The most science can do is point to a need for God...and I believe that science does that quite well. The unbelieving scientist is a doubter because the science facts never allow one to reach beyond the material.
As you say "proof" for God is found in another realm than material facts. That realm is described as faith but faith to a doubter is equal to a belief in fairy tales...mere folly. So be it.
One must be willing to travel outside the material in order to be found by the Divine. Then there's all kinds of proof that is unmistakable. But science will never get you there no matter how much you discover about the material world.