Ah, the "Contact" argument. My ex-girlfriend tried this one on me. I would like to point out that that not too long ago, the entire educated world population believed that the Earth was flat (ironically, because the church had told them so). There are other examples, such as the age of the earth, or whether the earth is in the center of the universe. Mass belief in propoganda does not make the propoganda true. Of course, if you still believe the earth is flat, 6000 years old, the center of the universe and that evolution is a lie, you must be pretty confused about how scientists managed to get a computer (or car, etc.) working for you but be so totally off on everything else.
Now hold on! You're just throwing up a Straw Man. I am not talking about believing something you are told. I'm talking about jillions of people holding conversations with God daily. The fact that all these people experience God isn't the same as believing because you are told. Either we are right, or we are suffering delusions. I submit that being right holds at least a 1% possibility, hence qualifying as a shred of evidence. Did I say conclusive? Nope, I didn't.