I think your argument boils down to the fact that anyone can create a new (Bit)coin or fork the 'core' Bitcoin chain, leading to some kind of dilution.
Well, I think this is true but there are reasons that this will not happen a million times, just like not everyone starts a bakery (although theoretically possible. In a nutshell, I think market forces would prevent this. See a more thorough description of my thoughts on this point here: http://www.devtome.com/doku.php?id=altcoins_-_nothing_to_worry_about
But will there be an infinity number of humans using these infinite number of coins then (AI-systems in the end serve a master, a human)? By analogy, there isn't an infinite number of Facebooks either. The free market will sort this out just fine.