In other words, religion is ok unless you actually live like it's true. The only forms of religion that are acceptable, by this standard, are those that don't make a difference in the way that you live.
Unfortunately, that defies the very nature of religion. Every meaningful religion makes demands. Sometimes those are consistent with the standards of the world and at other times they are not. Telling people they can't live out their faith is telling them that their faith does not matter, and that their religion isn't true. That is problematic.
In this case, it makes the assumption that the values of secularism are superior to all other religions.
The Values of Worldviews
There is no such thing as a neutral worldview. Every worldview has values.
Beardsley acknowledges this in her article, "Secularism is one of France's most important values, up there with equality, fraternity and liberty."
The naked public square isn't naked; it's filled to the brim with values that make totalizing demands on life. In this case, one of the most significant values is 'secularism,' which in this context appears to mean denying the significance of religion.
So secularism is making religious claims, but without the argumentation. This doesn't promote liberty, it promotes a tyranny of the mind and soul. It makes absolute claims on every part of life, but without the warrant for it.
Conclusion
I've heard it said that Europe is usually a generation ahead of the US culturally. Many people make moral arguments based on what Europe does, especially about social policies. The assumption appears to be that they are doing it right and the US is dragging behind. However, before we support the tyrannical secularism that France has, we need to consider whether true religious liberty should be sacrificed for that purpose. Not allowing people to practice their religion openly and being overtly hostile to public demonstrations of faith may make it easier to live together, but it may make it harder to live.
While France's anti-religious policies may limit the radicalization of Muslims in public, it may also override the basic right to a freedom of conscience. That seems a high price to pay for peace.
Reading your Bible is a battle. There’s a reason why Paul lists Scripture as the sword of the Spirit in his discussion of the armor of God (Eph. 6:17). More even than that, Scripture reveals God’s character and is, thus, central to worshiping well (Psalm 119). That’s why reading the Bible is a battle.