The author clearly has no interest in teaching about carbon dating. His interest is bringing religion into the public school classroom.
And how do you know that this is the author's interest? I happen to know that the author would rather that religion not be discussed in the science classroom. But science teachers can not be afraid to face up to it when it arises.
In the case of the shroud, scientists explored the subject and found no good answers.
Nonsense. Note that his objections are every one scientific, and quite convincing ones in my humble opinion.
If you have a scientific objection to his analysis, by all means share it.