[The Sons of Liberty]

You can’t have it both ways.
The argument is that Obama did not say the oath exactly as written in the Constitution. The oath as written does not contain “so help me God”.

No. Anything said after the prescribed oath is something else. If he omitted the "So Help Me GOD" and started into his specch by saying "Ladies and Gentlemen ..." that would not be part of the oath.

[JNL]

Nope sorry the blogger above states that:

he shall take the following oath,” and proceeds to supply the precise wording required for the presidential oath.

The precise wording does not include “so help me god”

And it really doesn’t matter anyways.