We should ban any book that has any mention of Christians, Jews, Muslims, Buddhists, Hindus, Atheists, Agnostics, and so on. I mean, what if people get offended that that religion was mentioned in print? Wait a minute. That's every book ever written. Ever.
You can't ban the bringing of religious books somewhere without the banning of, for one,
all books relating to religion, and, additionally, without banning all
non-religious books. The government is not allowed to favour one or more religions over others, and is not allowed to favour non-religion over religion.
So, yes, targeting the Bible as the only religious book worth banning is direct persecution of Christians. Which, according to the constitution and the principles of democracy, isn't supposed to happen. Bibles being in hospitals doesn't affect people's ability to go there. Students bringing Bibles to schools doesn't directly affect another person's education unless they go out of their way to make it so.
EDIT: Now, the question is--is this leading not only to religious persecution, but to government censorship as seen in
Fahrenheit 451? You tell me.