I think your analogy is overstated, but I’ll play along. Since when does the appearance of bias become an infraction of legal procedure or Constitutionality? The only religious legal declaration is that which is contained within the 1st Amendment, “Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof”. Inclusion of the word God in the pledge neither establishes a religion nor does it interfere with anyone’s rights regarding how they choose to believe or if they believe at all. Recognition of a higher power, a deity, of natural wonders, or of nothing is not impacted by the addition of that text. However, any attempted blocking or banning of the use of the term is indeed a violation as it prohibits the free exercise of a religious belief in the existence of a God and that my friend is explicitly protected.