The highlights are mine ..., Scofield says..... (1) The kingdom of God is universal, including all moral intelligences willingly subject to the will of God, whether angels, the Church, or saints of past or future dispensations Luk_13:28; Luk_13:29; Heb_12:22; Heb_12:23 while the kingdom of heaven is Messianic, mediatorial, and Davidic, and has for its object the establishment of the kingdom of God in the earth (See Scofield on Mat_3:2) 1Co_15:24; 1Co_15:25.
(2) The kingdom of God is entered only by the new birth Joh_3:3; Joh_3:5-7 the kingdom of heaven, during this age, is the sphere of a profession which may be real or false. (See Scofield on Mat_13:3) Mat_25:1; Mat_25:11; Mat_25:12
(3) Since the kingdom of heaven is the earthly sphere of the universal kingdom of God, the two have almost all things in common. For this reason many parables and other teachings are spoken of the kingdom of heaven in Matthew, and of the kingdom of God in Mark and Luke. It is the omissions which are significant. The parables of the wheat and tares, and of the net Mat_13:24-30; Mat_13:36-43; Mat_13:47-50 are not spoken of the kingdom of God. In that kingdom there are neither tares nor bad fish. But the parable of the leaven Mat_13:33 is spoken of the kingdom of God also, for, alas, even the true doctrines of the kingdom are leavened with the errors of which the Pharisees, Sadducees, and the Herodians were the representatives. (See Scofield on Mat_13:33).
(4) The kingdom of God "comes not with outward show" Luk_17:20 but is chiefly that which is inward and spiritual Rom_14:17 while the kingdom of heaven is organic, and is to be manifested in glory on the earth. (See "Kingdom (O.T.)," Zec_12:8, note; (N.T.),; Luk_1:31-33; 1Co_15:24, note; Mat_17:2, note.) (See Scofield on Zec_12:8), Luk_1:31-33 (See Scofield on 1Co_15:24; Mat_17:2).
Scofield above tells us The Kingdom of Heaven is the earthly sphere Jesus tells us His Kingdom is not of this world. Who is correct Scofield of Jesus ?
Joh_18:36 Jesus answered, My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence.