Yes, that's what people do. They see what they want to see and then collect evidence to support that position. It's the Law of Attraction at work.
Take for example an environmental or the political issues that are being talked about these days. For every position that someone holds there is someone else countering that position with new or different evidence. Each side is seeing what they want to see. It is what they already believe in. They keep looking and hearing for the side that they already believe in, collecting evidence along the way to support it. When something does come up that may cast doubt on their beliefs, it is casted aside as not reliable, gossip, political positioning. Think about it, if everyone was truly open to all the evidence that is out there, we would not have debates or discussions, in essence, there wouldn't be conflict. Of course, the evidence could come down as being inconclusive, in fact, that is usually the case. Therefore, all anyone can go on is their own beliefs. Be aware of when you are holding a position. Are you doing it to be right, to keep your position? When you are collecting evidence, are you truly looking at all aspects or only the ones you agree with? Basically, are you truly being open.