I mean, sure, I can't prove it's not true. If that's sufficient for you, all the more power to you. That will endear you to most people.
Prove what is not true? If you are still seeing religion as merely a belief system, I think you missed my point.
Yes, it is true that our view of what is true or false shapes what we do. But this is not the only factor in decision making.
What should shape our desires? What ought our life long goals be? Why should we respect our fellow human beings? What ought we value? Are we to follow only our moment to moment impulses, or should we reflect on what ought to be done? If we are to reflect, what informs our reflection?
You may claim that science informs these questions, and I would agree. But if you claim that science alone informs these things, I would disagree.
Perhaps this joke will illustrate my point:
Before assigning a punishment, a judge asked a convicted prisoner why she poisoned her husband. She said, "Because I put some poison in his food." The judge persisted, "Yes. Why did you put poison in his food?" She replies, "Because poison would kill him."
Judge: Yes. Why did you want to kill him?
Convict:Because then he would be dead.
Judge:Why did you want him dead?!
Convict:Because he'd no longer be living.
Judge:Why?!!!
Convict:Because that's what happens when someone is poissoned.
Judge:<sigh>
Science, in many ways, answers the questions I mentioned in a manner similar to how the convict answered the judge in that joke. They are true answers, and relevant to the facts of the situation, but altogether unsatisfying.
Religious thinkers from those of the caliber of Thomas Aquinas, to local pastors address the questions I mentioned in more direct and satisfying ways. There are many writers from many traditions (incuding atheistic ones) who address these concerns. The approaches offered through scientific training, although informative, are ill-equipped for spiritual matters. To call what religion offers in such matters a "God of the Gaps" is to completely miss the point(and I don't believe this is what Dr. Tyson was implying either).