Why did Allah Almighty allow for the Muslims to eat from the "People of the Book's" (Jews and Christians) food?

There are several possible answers to this question, but the best one I believe lies in the Verses below.  First, let us look at what Allah Almighty said in the Noble Quran regarding the People of the Book's food:

"This day are (all) things good and pure made lawful unto you. The food of the People of the Book is lawful unto you and yours is lawful unto them. (Lawful unto you in marriage) are (not only) chaste women who are believers, but chaste women among the People of the Book, revealed before your time,- when ye give them their due dowers, and desire chastity, not lewdness, nor secret intrigues if any one rejects faith, fruitless is his work, and in the Hereafter he will be in the ranks of those who have lost (all spiritual good).  (The Noble Quran, 5:5)"

Here is the reason of why I believe their food was made lawful for the Muslims:

"'This is a lasting ordinance for the generations to come, wherever you live: You must not eat any fat or any blood.'  (From the NIV Bible, Leviticus 3:17)"

"And wherever you live, you must not eat the blood of any bird or animal.  (From the NIV Bible, Leviticus 7:26)"

"If anyone eats blood, that person must be cut off from his people.'  (From the NIV Bible, Leviticus 7:27)"

Note:  Now please be advised that we Muslims do not believe that the contents of today's "Bible" are original Revelations from GOD Almighty.  The Bible does contain overwhelming amount of corruption, contradictions and errors.  But however, some Divine Revelations might have gotten preserved.

"Forbidden to you (for food) are: dead meat, blood, the flesh of swine, and that on which hath been invoked the name of other than God; that which hath been killed by strangling, or by a violent blow, or by a headlong fall, or by being gored to death; that which hath been (partly) eaten by a wild animal; unless ye are able to slaughter it (in due form); that which is sacrificed on stone (altars); (forbidden) also is the division (of meat) by raffling with arrows: that is impiety. This day have those who reject faith given up all hope of your religion: yet fear them not but fear Me. This day have I perfected your religion for you, completed My favour upon you, and have chosen for you Islam as your religion. But if any is forced by hunger, with no inclination to transgression, God is indeed Oft-Forgiving, Most Merciful.  (The Noble Quran, 5:3)"

The fact that the Jews' and Christians' meat is supposed to be very clean (blood-free), unlike the pagans' meat where there are no standards on how to clean it, then I believe that this is the main reason why Allah Almighty permitted the Muslims to eat from their meat, despite the fact that they may not invoke GOD Almighty's Holy Name on the animal before they slaughter it, even though Allah Almighty clearly Commanded the Muslims to do that in Noble Verse 5:3 above and in many other Noble Verses in the Noble Quran.  That is why Allah Almighty mentioned the "People of the Book" by the name as far as the non-Muslims whom we are allowed to eat their food.

It is important to know that the paganistic belief of trinity that the polytheist trinitarian pagans hold today did exist during Prophet Muhammad's days.  This is clearly proven in the following Noble Verses:

"Say: 'O People of the Book (i.e., Jews and Christians)!   Come to common terms as between us and you:  That we worship none but Allah; that we associate no partners with Him; that we erect not, from among ourselves, Lords and patrons other than Allah.'  If then they turn back, say ye: 'Bear witness that we (at least) are Muslims (bowing to Allah's Will).'  (The Noble Quran, 3:64)"

"They do blaspheme who say:  'Allah is Christ the son of Mary.'  But said Christ: 'O Children of Israel!  Worship Allah, my Lord and your Lord.'   Whoever joins other gods with Allah - Allah will forbid him the Garden, and the Fire will be his abode.  There will for the wrongdoers be no one to help.  (The Holy Quran, 5:72)"