This is over the top. Obama visits only churches where is politics inside and no worship and right teaching. Then he felt the presence of Jesus as he travelled Israel. The presence of Jesus is not bound to Israel in a way that a Christian has to go there in order to get a special closeness.
If Obama has felt something, than it will be the same thing what mainline Christians feel if they go for Christmas service or they see the catholic eastervcelebrations on tv.
But perhaps he has not even felt this. Perhaps he lied cunning in order to trick the American people to trust him more. It is a wide spread prejudice, that people who appear religious are good people.