Is Allah like is Creation?

I have heard it said that Allah is nothing like his creation.  We are like bacteria in comparison to Allah.

This is useful to say if your religion explicitly teaches against that God did clothed himself in a body and lived among us.
They argue like this: "Allah is so high above us, it is like an ant trying to reason with a human being".

But the fact of the matter is that we as humans enjoy having relationships with lower beings, say for example, dogs, because we do have common ground between us. 

However, we do not normally keep ants as pets.  Ants do not know or care about people.  There is nothing to fellowship with. 

Nor do we get any satisfaction from programming a computer to act like it is worshipping us.  There is no doubt a cell phone app for everything, but I have yet to see one like this.

So I say that the fact that God expect us to worship him must mean we are on a similar plane of existence.

Let me give another example:  When people engage in a competitive sport, like for example Chess, they always seek out somewhat equally matched opponents.  It is of no interest to beat an opponent in 3 moves or is there any satisfaction in an easy win.