MNDAD DGXR QH CXD RXDIXOBND: "CN
TCH SNBXNLND XP FN DCGBB PNLNV RXN.
SAQ CN CGD GBVNGRE OGDDNR JVHF
RNGQC QH BXJN."
       QCN YHDONB GIIHVRXPY QH MHCP

Answer:

First, look at the form of the quotation.  The phrase after the quotation is indented.  Such a phrase usually explains or attributes the quotation, and the most familiar attribution of a gospel quote -- heard again and again every Sunday --  is this: THE GOSPEL ACCORDING TO ...  For now, we can be pretty sure these four words are right (we'll worry about which Gospel this is later).  So we substitute T for Q, H for C, E for N, etc.

So far, we've built up the following partial cipher table:

Q	T
C	H
N	E
Y	G
H	O
D	S
O	P
B	L
G	A
I	C
V	R
R	D
X	I
P	N

This gives us the following translation of the quote (with translated letters in lower case):

MesAs said to his disciples: "he
Tho SelieLes in Fe shall neLer die.
SAt he has alreadE passed JroF
death to liJe.""
     the gospel according to Mohn

Now it is clear that the Gospel is JOHN, and the familiar introduction is "JESUS SAID TO HIS DISCIPLES".  Adding these translations

Gives us the this translation (with translated letters in lower case):

jesus said to his disciples: "he
Tho SelieLes in Fe shall neLer die.
Sut he has alreadE passed JroF
death to liJe.""
     the gospel according to john

This quote should be familiar by now, so the final solution is to make these substitutions:

The quote then becomes,

JESUS SAID TO HIS DISCIPLES: "HE
WHO BELIEVES IN ME SHALL NEVER DIE.
BUT HE HAS ALREADY PASSED FROM
DEATH TO LIFE."
     THE GOSPEL ACCORDING TO JOHN

There is no K, U, W, or Z in the original cipher, and there is no K, Q, X, or Z in the deciphered quote.  Among the remaining letters, here is the final substitution table, sorted for easy use: