If bitcoins were infinitely divisible, why would you choose to cease generation of bitcoins at any point?
Those remarks concerning the "number" of bitcoins are just amazing.
Why can't you see the bitcoin as a unit of measure, instead of a single entity ?
I mean, there are about 200,000 tons of gold in the world. That's 200 millions of kilograms. However, there is not more gold if you count it in kilograms than in tons.
If you divide a bitcoin in ten, you don't add 9 bitcoins ! Just as you can't make more bread by spliting a piece of bread in several pieces. You're not Jesus-Christ

!
In other worlds : you can't increase the quantity of some commodity, just by increasing the precision of the tool you use to measure it.