I think that your arguement is pretty good. You might be interested in looking at some of the classical arguements for the existance of God. Although there are ways of getting around them.

1) 2nd law of thermodynamics
2) Principle of 1st cause
3) Kosmological arguement
4) morality (i.e. why be moral??) etc.

These are not full proof but they are helpful non the less. Me personally think that naturalism, postmodernism, scientism, are equally self-refuting principles to go off of. But thats just an opinion.