And while I am not particularly familiar with Mr. Antony's work I can tell you that he either didn't understand or purposefully misused Hitchen's Razor insofar as you indeed can not apply it to Atheism the same way you can apply it to christianity.
The reason for that being that there is no particular thing at all you have to believe to be an atheist.
Atheism in and of itself doesn't assert anything at all.
So there is nothing that could be dismissed.

Atheism says there is no reason to believe in god.
How does Hitchen's Razor dismiss that? It doesn't.

Not to mention your quote still is no argument towards the positive existence of god.

And if you don't show me how I am supposed to be intolerant, I will take it as the baseless insult that it is and will no longer discuss with you.