Basically, my position on secularism comes down to the idea that one person's beliefs shouldn't be imposed on others, whether that comes in the form of reciting the Lord's Prayer before the town council meeting, giving special tax status to churches, or prohibiting school children from wearing hijabs and crucifixes.
Let's put this shoe on the other foot. Person A believes that Jesus Christ is the Lord of the Universe, so Jesus' authority extends over our governments and the schools they run. The government denying the practice of reciting the Lord's prayer -- an act of submission to the world's true Lord -- amounts to their imposing their belief on A that Jesus isn't actually the Lord.
Or perhaps a Hindu has created a new god. (I once had a fascinating discussion with a Hindu about how they routinely do this.) The province of this god is education, and so this god is the actual master of all the world's educational systems. As master of education, this god requires that all students everywhere perform a certain form of meditation during school hours for 15 minutes four times per day. The fact that the government will not do this is an imposition of their worldview upon that erstwhile Hindu.
So much for secular "religious neutrality." There's no such thing. Secularism imposes a set of values and a religious worldview, specifically an atheist or agnostic one. If we insist on having a secular government, that's a RELIGIOUS decision, one which has implications for everyone's belief and practice. It's anything but neutral, unbiased, or purely rational.