Good, it is certainly far better to be skeptical than gullible any day of the week. Although I don't remember claiming that time is infinite, maybe you can explain how this rewrites modern cosmology?
You mentioned infinite time, and used infinite time, for your argument here:
The formation of our planet was the accumulative results of million of billions of positive events, over billions of years. Given an infinite amount of time, there will be an equal number of heads and tails tossed from a coin. In other words order out of chaos. This represents only two outcomes possible from one event over an infinite amount of time.
It rewrites modern cosmology because modern cosmology says that time is finite, time began at the Big Bang.
In our Universe, I do believe that time IS infinite. But I don't see its relevance here, other than being necessary for change to occur. My claim is the logical claim that the FIRST life came as a result of the chance set of circumstances involving just the right combination of luck, time, and the right non-living chemicals and minerals. The logic is, WE ARE HERE AND ALIVE, and there was NO LIFE on the primitive early Earth. So unless aliens came to early Earth and bumped ugly with rocks and volcanoes, I can't see any other rational explanation
So, chance, luck, time, etc., is more logical to you than God creating life?
Look, if you want to believe in that, and deceive yourself into calling it logical, then feel free. But it's not science.
Anyway, what evidence do you require? Maybe you can present your OWN evidence that suggest that life was NOT created from nonliving materials(non-life)? That is, without committing a fallacy of composition.
I happen to believe, and would not try to prove scientifically, that life was CREATED from non life, by a creator. Not by blind luck, non existing infinite time, and chance.
So, I actually have a rational reason for believing that life was CREATED from non life.
Are you open to the possibility in your mind, that God could exist? Or are you just completely shut off to that possibility?