Do read the New Testament a bit more thoroughly on the subject. Here you will see that the food laws and the Gentiles/non Jews are being put together in this new order of things because now we are dealing with Gentiles who believe and who are not expected to be under the law in their eating. The Gospel is being opened up to the non Jews, they are to be "grafted in".
Acts 10
9 On the morrow, as they went on their journey, and drew nigh unto the city, Peter went up upon the housetop to pray about the sixth hour:
10 And he became very hungry, and would have eaten: but while they made ready, he fell into a trance,
11 And saw heaven opened, and a certain vessel descending unto him, as it had been a great sheet knit at the four corners, and let down to the earth:
12 Wherein were all manner of fourfooted beasts of the earth, and wild beasts, and creeping things, and fowls of the air.
13 And there came a voice to him, Rise, Peter; kill, and eat.
14 But Peter said, Not so, Lord; for I have never eaten any thing that is common or unclean.
15 And the voice [spake] unto him again the second time, What God hath cleansed, [that] call not thou common.
16 This was done thrice: and the vessel was received up again into heaven.
17 Now while Peter doubted in himself what this vision which he had seen should mean, behold, the men which were sent from Cornelius had made enquiry for Simon's house, and stood before the gate,
18 And called, and asked whether Simon, which was surnamed Peter, were lodged there.
19 While Peter thought on the vision, the Spirit said unto him, Behold, three men seek thee.
20 Arise therefore, and get thee down, and go with them, doubting nothing: for I have sent them.
21 Then Peter went down to the men which were sent unto him from Cornelius; and said, Behold, I am he whom ye seek: what [is] the cause wherefore ye are come?
22 And they said, Cornelius the centurion, a just man, and one that feareth God, and of good report among all the nation of the Jews, was warned from God by an holy angel to send for thee into his house, and to hear words of thee.
23 Then called he them in, and lodged [them]. And on the morrow Peter went away with them, and certain brethren from Joppa accompanied him.
24 And the morrow after they entered into Caesarea. And Cornelius waited for them, and had called together his kinsmen and near friends.
25 And as Peter was coming in, Cornelius met him, and fell down at his feet, and worshipped [him].
26 But Peter took him up, saying, Stand up; I myself also am a man.
27 And as he talked with him, he went in, and found many that were come together.
28 And he said unto them, Ye know how that it is an unlawful thing for a man that is a Jew to keep company, or come unto one of another nation; but God hath shewed me that I should not call any man common or unclean.
29 Therefore came I [unto you] without gainsaying, as soon as I was sent for: I ask therefore for what intent ye have sent for me?
30 And Cornelius said, Four days ago I was fasting until this hour; and at the ninth hour I prayed in my house, and, behold, a man stood before me in bright clothing,
31 And said, Cornelius, thy prayer is heard, and thine alms are had in remembrance in the sight of God.
32 Send therefore to Joppa, and call hither Simon, whose surname is Peter; he is lodged in the house of [one] Simon a tanner by the sea side: who, when he cometh, shall speak unto thee.