Why the concept of God cannot be incorporated into science

But the majority of the modern day scientists think God concept is imagination based as there is absolutely no evidence at all about his existence. In the entire human history, nobody has ever found any evidence. God hypothesis is a primitive way to explain things about the origins and running of this universe, according to these scientists. 

Okay, if we say we  are open to the god hypothesis, how can we test this imagination based one when there is no physical reality ( def: Physical things are real things that can be touched and seen, rather than ideas or spoken words)? Scientific methods cannot be followed to establish facts. 

On the other hand can people who believe in God  provide evidence for his existence using scientific method to establish him as a scientific fact? 

Much of what once seemed mysterious — the existence of humanity, the life-bearing perfection of Earth, the workings of the universe — can now be explained by biology, astronomy, physics and other domains of science. 

Although cosmic mysteries remain, Sean Carroll, a theoretical cosmologist at the California Institute of Technology, says there's good reason to think science will ultimately arrive at a complete understanding of the universe that leaves no grounds for God whatsoever . He argues that God's sphere of influence has shrunk drastically in modern times, as physics and cosmology have expanded in their ability to explain the origin and evolution of the universe. "As we learn more about the universe, there's less and less need to look outside it for help"(2).  Science is turning out to be capable of explaining why Big Bangs occur, origins and  evolutions of life occur without the need for a supernatural jumpstart. The Big Bang could've occurred as a result of just the laws of physics being there. With the laws of physics, you can get universes.

Science is self-serving and works within physical realities using scientific methods as means to establish facts. It doesn't need supernatural hypotheses that can't be utilized within its parameters.

So the answers to your questions:

Is it possible to incorporate the possibility of God into science? 

NO! Because the God hypothesis is not natural.

Why can't one still be open to a higher power as a hypothesis for the existence of the world, since we don't know the meaning of reality?

We know the meaning of physical reality:  things that can be touched, seen, or feel with our senses or using scientific instruments, rather than just ideas or spoken words.

Why can't one still be open to a higher power as a hypothesis for the existence of the world?

We are open. Just go ahead and provide evidence using scientific methods to incorporate it into science.

2. https://www.livescience.com/23251-science-religion-god-physics.html