How can this so-called god particle come into existence by itself? If you take a bunch of nothing and wait a billion years you will still have a bunch of nothing because there wasn't something to make it out of in the first place.
You certainly have more intelligence than this misguided friend of yours.
It might be as you say that there may not truly be a number 0 because the probability of this god particle and how it came into existence is less than zero.
I am in full agreement with your well written estimation.
There seems to be a fundamental misunderstanding among religious people about what science actually says regarding the big bang. We don't say that "something came out of nothing". That is not a claim any of us make. In fact, it is a claim that all of us dispute vehemently. The first law of thermodynamics states that no energy in the universe can be either created or destroyed. So, to say that "something came from nothing", is a direct violation of that law.
The big bang is actually a lot more complex.
If you think back to your science classes in high school (that might be an unfair request considering your age, so I apologize in advance if you can't quite remember), to when you learned about the forms of energy. If you recall, there is chemical, electrical, gravitational etc. But essentially, all energy falls into two broad categories: kinetic, and potential. This is where things get a little complicated.
At the point of the big bang, much of the potential energy that exists, was released, and kinetic energy was born. Hitherto, only potential energy had existed. Which is why, when we talk about the beginning of the universe, what we mean is the moment that all that potential energy was released.
People ask "well what was before it?" 'What caused it to be released?" "What caused the big bang?"
But that's an impossible question. Because the universe as we know it, has potential energy, and kinetic energy. It has mass, and motion, and time, and space. "Before" the big bang, the universe was not like that at all. It was hot, dense, motionless, potential, timeless (you cannot have time if there is no energy conversion, motion and space), and so to talk about "before the big bang" is to talk about something that doesn't exist. The very concept of "before", is a concept rooted in the perception of time. But if there is no time, how can there be a "before"?