What is the difference between the bride of Christ and the rest of those saved and going to heaven?Galatians 3:25-29 But now that faith has come, we are no longer under a tutor. For you are all sons of God through faith in Christ Jesus. For all of you who were baptized into Christ have clothed yourselves with Christ. There is neither Jew nor Greek, there is neither slave nor free man, there is neither male nor female; for you are all one in Christ Jesus. And if you belong to Christ, then you are Abraham's descendants, heirs according to promise.
If we are sons of God through faith in Christ Jesus, then would this still apply when faith is no longer required?
Hebrews 11:1 Now faith is the substance of things hoped for, the evidence of things not seen.
During the millennium, will there be faith in Christ Jesus? He will be dwelling on the earth among us as the Meshiach Nagid, having taken the kingdoms of the earth to rule with a rod of iron. This will be after the marriage of the Lamb. Revelation 19:7,8 So if faith is the evidence of things not seen, can there be faith when Christ is seen and known throughout all of the world? Everyone will be required to travel to Jerusalem to worship Him.
People will still have to accept Christ when He dwells among us, but this will be after the bride of Christ is married to Him. This doesn't mean that nobody else will go to heaven and we must put on our immortal bodies for that, which are what the fallen angels disrobed from to come to earth in Genesis 6:1-8 according to Jude 1:5-7. Jude 1:5-7 I will therefore put you in remembrance, though ye once knew this, how that the Lord, having saved the people out of the land of Egypt, afterward destroyed them that believed not. And the angels which kept not their first estate, but left their own habitation, he hath reserved in everlasting chains under darkness unto the judgment of the great day. Even as Sodom and Gomorrha, and the cities about them in like manner, giving themselves over to fornication, and going after strange flesh, are set forth for an example, suffering the vengeance of eternal fire.
Genesis 6:4 There were giants in the earth in those days; and also after that, when the sons of God came in unto the daughters of men, and they bare children to them, the same became mighty men which were of old, men of renown. The term "sons of God" refers to direct creations of God, which we will be when given our new incorruptible bodies. In the case of Genesis 6, they were the fallen angels. Angels are directly created by God while humans are born of their mothers and fathers. Through faith in Christ now, we are born again. We are already born again now in the spirit, but we are awaiting our bridegroom to come back for us to consummate the relationship and give us our new bodies, which are direct creations of God. Then our spirit will reside in these new temples, one with Christ as two become one in marriage.
So more than just the bride will be "sons of God," but I believe the distinction between "the redeemed that comes out of the millennium and the redeemed of today" is that the redeemed today are the bride of Christ and the redeemed from the millennium are not, even though they are saved by accepting the atoning sacrifice of Christ. The bride of Christ is differentiated by those who live by faith. That state can't happen during the time when faith is not required because what is real is evident and apparent among us.