This is based partially on the novel of Philip K. Dick, Ubik.
Supposing that human evolution takes a step forward in an unexpected way - like instead of a physical mutation, the humans born have a brain mutation, although normal humans are still born. But this new race of human is slowly increasing its numbers.
This mutation on the humans allows them to have different mental capacities. One of them is a some kind of clairvoyance, but not as is a magical gift. It's more accurate to describe it that they percieve more 'data' from the world around them than normal humans, and when they process that information, they 'see' the outcome of what will happen next. Although that prediction is not 100% accurate, it would be still impressive for the regular humans.
Some other of these new humans have other type of mental gift. I could describe it as the closest that it could be to 'read' minds. They have developed a huge capacity for empathy, and reading body language comes more natural for them.
They are other types of feats that the new species of human can do (things like telepathy or telekinesis still not possible; my approach for the mental feat are more realistic as they can be).
Here are my questions:
What would be the initial reaction of the people/society/goverment/religions?
What would be the impact on the society, at least in the very first years of this discovery?
I think that the people in general would be divided in two sides. One will condemn them (the more conservative people would seem them as unnatural beings) and the other would accept them (they are more open).