Rearrange the parts of the sentence in correct order.
Is our national identity
P-needs to be shrouded in a
Q-of such a loose character that it
R-cloak of anodyne conformity?

The sentence starts with "Is our national identity".
"National identity" is a noun phrase that can be modified by part Q: "of such a loose character that it...".

The relative pronoun "it" in part Q acts as a subject that requires a verb, which is provided by part P: "needs to be shrouded in a...".

The indefinite article "a" at the end of part P links directly with the noun phrase in part R: "cloak of anodyne conformity?".

Thus, the correct logical order is QPR.