Howdy brother. I'm not looking for another go round and its pointless really. Only the Holy Spirit convinces one of the truth and nearly everyone makes the gospel more complicated than it needs to be, but have you considered that when Jesus described that judgment you quote in Matthew 25:44-46, that He was just addressing the issue of religious hypocrisy?
There are absolutely 2 different judgments in scripture. The Bema seat, translated as the judgment seat of Christ and the Great White throne judgment at the end of the age following the 2nd resurrection. Jesus used the word "Gehenna" when referring to hell and Gehenna was the name of the garbage dump outside Jerusalem where there was constant burning in fire pits. The same place had been a site of idolatrous practices in worship of Molech, where human sacrifice was performed on infants, "passing them through the fire", literally burning them to death in the hands of a metal idol heated by internal fire.
The outer darkness is mentioned in the books of the law and is a reference to those outside the camps of Israel during the wilderness journeys, outside the covenants of Abraham and the law of Moses (the gentile nations.)
When our Lord confronted the scribes and pharisees, his primary complaint against them was their hypocrisy and he addressed this many times, both plainly and in parables.
If you read extra biblical sources about the pharisees, you'll find that they practiced very strict codes of behavior, adding many things to the law (like keeping your left hand hidden in your cloak when not using it.) They did these things out of fear of God and modern rabbinical Judaism was founded on their traditions. If you enter a synagogue you'll often find an open seat or bench called Elijah's seat. It's open for his return before the coming of their messiah ( they didn't recognize Jesus and are still waiting.)
There's nothing in scripture that says that all who stand at that first judgment seat or even those granted entry into His kingdom are all Christian.
What did Christ say about rewards at that judgment?
You left that out of your quote because it doesn't support your understanding.
37 “Then the righteous will answer Him, saying, ‘Lord, when did we see You hungry and feed You, or thirsty and give You drink? 38 When did we see You a stranger and take You in, or naked and clothe You? 39 Or when did we see You sick, or in prison, and come to You?’ 40 And the King will answer and say to them, ‘Assuredly, I say to you, inasmuch as you did it to one of the least of these My brethren, you did it to Me.’ Matthew 25:37-40
Most people assume that Jesus was only speaking to Christians at the Bema seat judgment, but that's impossible given the "goats on the left."
But what was He actually teaching?
41 He who receives a prophet in the name of a prophet shall receive a prophet’s reward. And he who receives a righteous man in the name of a righteous man shall receive a righteous man’s reward. 42 And whoever gives one of these little ones only a cup of cold water in the name of a disciple, assuredly, I say to you, he shall by no means lose his reward.” Matthew 10:41-42
This gospel is not the gospel upon which the Lord builds His church, but certainly is within the "limits" of the Everlasting gospel. God's grace is far broader than we imagine, but it all still comes down to believing the Lord and doing what's right, even if that is as little a thing as giving a cup of water to a disciple out of the fear of God. I don't believe in a "universalist " salvation, but there is more here than is commonly understood and commonly preached, and the propitiation of sin paid in His blood is more than sufficient to cover all of creation.
