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That's just one part of the oath. No reference to any deity is required in the current oath. Read the entire thing, directly from the government:

PART 337--OATH OF ALLEGIANCE--Table of Contents

Sec. 337.1 Oath of allegiance.

(a) Form of oath. Except as otherwise provided in the Act and after
receiving notice from the district director that such applicant is
eligible for naturalization pursuant to Sec. 335.3 of this chapter, an
applicant for naturalization shall, before being admitted to
citizenship, take in a public ceremony held within the United States the
following oath of allegiance, to a copy of which the applicant shall
affix his or her signature:

I hereby declare, on oath, that I absolutely and entirely renounce
and abjure all allegiance and fidelity to any foreign prince, potentate,
state, or sovereignty, of whom or which I have heretofore been a subject
or citizen; that I will support and defend the Constitution and laws of
the United States of America against all enemies, foreign and domestic;
that I will bear true faith and allegiance to the same; that I will bear
arms on behalf of the United States when required by the law; that I
will perform noncombatant service in the Armed Forces of the United
States when required by the law; that I will perform work of national
importance under civilian direction when required by the law; and that I
take this obligation freely, without any mental reservation or purpose
of evasion; so help me God.

(b) Alteration of form of oath; affirmation in lieu of oath. In
those cases in which a petitioner or applicant for naturalization is
exempt from taking the oath prescribed in paragraph (a) of this section
in its entirety, the inapplicable clauses shall be deleted and the oath
shall be taken in such altered form. When a petitioner or applicant for
naturalization, by reason of religious training and belief (or
individual interpretation thereof), or for other reasons of good
conscience, cannot take the oath prescribed in paragraph (a) of this
section with the words ``on oath'' and ``so help me God'' included, the
words ``and solemnly affirm'' shall be substituted for the words ``on
oath,'' the words ``so help me God'' shall be deleted, and the oath
shall be taken in such modified form. Any reference to `oath of
allegiance' in this chapter is understood to mean equally `affirmation
of allegiance' as described in this paragraph.