It is quite interesting that believers in a God - especially in the Christian God - often try to use science for strenghtening their belief. For instance, the Christian church suppressed for centuries all parts of science that seemed to contradict the image of their God.

This seems a paradox to me. Why this strange addiction of God believers to science? Is their belief so weak that they need some external confirmation?

Science can not deliver this confirmation. This is not due to the nature of science; if a God would affect our real world, his existence could easily be proven, just in the way Marco described. However so far, all existing Gods unanimously deciced not to be scientificially proveable. Whatever the reason, God believers have no choice but to respect this.