So let me ask you a question, Strawman. If they had gone from a Christian oath to one that allowed either-or, would you argue that they should make everyone recite the 'or'? Because that's what your argument boils down to.
You've worded that in a strange way but I assume you mean, "Should the oath be secular?"
Yes, I believe it should. Secularism is often misconstrued as Atheism, or Anti-theism, but secularism is entirely impartial with regards to religion, it doesn't argue for or against it, it simply ignores it. Proseletysing theists can't handle that and so they claim secularism to be religious oppression, which is bullshit!
Show me where in the secular oath it pledges alleigiance to science and atheism? Where is the dismissal of gods as delusion and scripture as fables? Nowhere, it would not be secular if there were such things.
I am against indoctrination of any sort and secularism is the antithesis of indoctrination, not of religion.