Selective sensory perceptive is the thing that keeps our brain from overloading. There's an over abundance of information coming at us. This built in "filter" is what let's us focus and not become overwhelmed. It is what allows you to read this text and not be bothered by all of the other distractions on your screen. It is what allows us to say, "he came out of nowhere" after being in a car crash. It is how we are able to be hit in the face by a ball when we simply need to duck - we just don't see it coming. SSP can be good and bad, helpful and not so helpful.
So it is not that something is not there - it is often simply that we don't notice it or it doesn't fit our thinking (i.e., worldview). In science, data can be ignored or misinterpreted if they do not fit our paradigm. As we relate that to God, this is how the lost can wonder where He is while the redeemed can see Him in everything. The famous "slip of the tongue" by experimental social psychologist Thane Pittman sums it up,Ill see it when I believe it.
This is how we can honestly state the paradox that God's invisible qualities can be clearly seen (Ro 1.20). No one can see the Kingdom of God unless he is born again. No one can enter the Kingdom of God unless he is born of water and of the Spirit (John 3.1-21). To see the King we must believe differently. To believe differently, we most be made alive by His effectual grace.
For more, read Chosen by God by R.C. Sproul (or read the Bible - any version will do).