No, even if the big bang were absolutely indisputable fact, it would make zero difference to those who believe their religious creation stories: they would either deny the facts, or reinterpret their stories to include the new information. Never underestimate the power of denial.

Big Bang is a visual aftermath of “let there be light”

God created the big bang.

There is always the possibility that God created the Universe 6000 years ago (or whenever), but made it LOOK LIKE it was the result of the 'Big Bang' about 15 billion years ago. OTOH, why He would play such a practical joke on humanity has never, to my knowledge, been satisfactorily explained by theologians. . . .

No you aren't. The big bang is already a well established fact. So in this aspect, most creation stories are wrong, if you interpret them literally. Microwave background radiation and ohter phenomena proved that the big bang occured about 13.7 billion years ago (we don't know how though, so this might have been done by god, altough I doubt it). The Higgs Boson won't be created, it will just be discovered. This will help us understand what happened right after the big bang, and it will also rule out or confirm some promising hypotheses about the cosmos. One cannot prove a negative, there will always be people who say 'but god did it the way science explains it', or 'god just made it look like this, but actually, he made it in six days'.

The emergence of a Higgs Boson particle will help to explain how otherwise mass-less particles cause matter to have mass. It is the only Standard Model particle not yet observed. You can never have "proof" that the big bang happened because unfortunately it occurred in our past before any sort of observational equipment had been invented. Does that mean we need to accept the notion of a Big Bang on faith? Of course not! We can paint a fairly detailed portrait of the universe in the past given the conditions we observe today. Independent evidence gathered by scientists all over the world suggest that our universe was once a singularity that experienced a major expansion. That is what is commonly known as the Big Bang. We can tentatively accept this as the explanation for the origins of the universe until better, more refined theories come along. No invocation of faith needed. I have yet to read a religious creation story that agrees with modern scientific theories or that proposes a testable alternative to the scientific history of the universe. so i would say these stories are false because they are predicated on beliefs that are not corroborated by evidence or that can be falsified.