So it isn't indoctrination when it's our indoctrination.
You ARE aware that "under God" was added because certain people felt that our PoA sounded too similar to certain oaths of those "Godless Communists".
No, it is NOT a "prayer".
"Strawman" strikes again.
No one has claimed that it was a prayer.
The same as posting the 10 Commandments in every public classroom would not be a "prayer".
But it would be an obvious endorsement of one particular religion by the government.
Again, if it does not matter, then "under Allah" should be completely acceptable.