Can religion,Science,philosophy and math bring forth a better society?

I know that I may be stirring up a hornets nest but I do wonder if all of these can come together for the good of mankind.

I will try and give a couple of examples and then let you share your views.

Religion seems to try and influence the thinking of the masses and science, philosophy and math seem to be able to show the nature of reality to a degree but I am willing to accept that I may be wrong.

If we were to look at neuroscience is there any answers that it may be able to give us?

If neuro imaging was able to statistically show that pedophiles are in the business of educating your children would you go with the odds if they were around 85 percent? What would you you think if neuroscience could show within 90% accuracy that someone was a pedophile? would you think that we should dismiss it, "if it was someone who was your babysitter?