Is the New Covenant the same as the everlasting covenant (Genesis 17:7)

Is the everlasting covenant given by God to Abraham and Isaac (Genesis 17:7, 19) continued as the New Covenant in Christ's blood 2000+ years later (Luke 22:20)? And if yes, wouldn't that mean Christians today join in the everlasting covenant promises, signs and blessings from Abraham through Isaac?

Indeed we see a continuity between the Covenant given to Abraham and the Covenant in Christ's blood. We find the same covenant language in Genesis 17, Eze. 31:31-34, 32:38-40 and other places. Yahweh becomes "a God unto thee, and to thy seed after thee." Noah, Abraham and David each received an everlasting covenant but the Mosaic covenant (the Old Covenant) is never called this. It is cancelled and replaced by the "better covenant" (Hebrews 8:6). The essential substance of God's people and the way of salvation has always been the same from the Old and New Testaments: God saves by grace through faith in covenant dealings with His community of professing believers and their children (Genesis 17:7, Eze. 32:39 cf. Acts 2:38-39). We don't find a radical change of God's way of salvation when we get to Christ. Abraham was justified by faith (Gen. 15:6) and the O.T. saints trusted in the Promised Seed of Gen. 3:15. We today also trust in the Promised Seed, our Lord and King Christ Jesus.

Click here for all the times the Bible mentions in "everlasting covenant" (biblegateway):

(Genesis 9:16, 17:7, 13, 19, Lev. 24:8, Num. 18:19, 2Sam. 23:5, 1Chron. 16:17, Psalm 105:10, Isaiah 24:5, 55:3, 61:8, Jer. 32:40, Eze. 16:60, 37:26, Heb. 13:20)

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[ETHANGELIST]

It's possible the Hebrew phrase for "everlasting covenant" is found in the Old Testament 25 times rather than 16 or 17 as I said in the video. But our English Bibles have it 16 or 17 times.

[ETHANGELIST]

Notice the beautiful truth of the covenants of promise now made available to the Gentiles by the blood of the covenant:

[11] Wherefore remember, that ye being in time past Gentiles in the flesh, who are called Uncircumcision by that which is called the Circumcision in the flesh made by hands; [12] that at that time ye were without Christ, being aliens from the commonwealth of Israel, and strangers from the covenants of promise, having no hope, and without God in the world: [13] but now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ.
~ Ephesians 2:11-13

Gentiles are grafted into the Old Testament Church, Israel (Romans 11:17-24) but perseverance in faith is necessary to remain. Unbelief cuts you off and causes you to be a covenant breaker (Hebrews 10:29-31).