Well, first you said there were no Isaelites left behind and I showed you there were. The Israelites were already mixing with Hittites, Canaanites, and all the other "ites" that were in the land, which was part of what destroyed them. They took wives and gods from among the native people. Now, there are many historical facts that are not in the Bible. Alexander the Great is not in the Bible. Not every fact that ever took place in the land of Israel is recorded in the Bible. But clearly the remnant left behind included many who were apostate. That much is certainly in the Bible, and then no further mention is made of them. They either died without reproducing, or they mixed. The only reasonable thing I can believe, given the Bible doesn't directly record their fate, is to believe they mixed. How else would gentiles from Assyria / Babylon acquire a belief in God as opposed to the polytheism of those nations? The Samaritans were trying in their corrupted way to worship God, not gods. That too is in the Bible. Given what is there in the Bible, there are few other reasonable things to beleive about the Samaritans. The Bible does not record what you are asserting about them either. In any case, neither the Samaritans nor the Jews knew God. That part is abundantly clear.
Look at Ezra 9 and note who God's Word shows mixing with Canaanites. It was those of the "house of Judah" captive to Babylon.
Some want to claim that the ten tribes of the "house of Israel" returned back to the holy lands from the lands of the Medes, Assyria, and ancient areas of the north. Thus they want to try and claim that Israel's split into two separate bodies, with the ten tribed majority brought back together with the "house of Judah" at some point in history. Or they want to claim that the ten tribes mixed themselves beyond recognition and are forever gone. That's simply not true per God's Word, and the Ezekiel 37 prophecy of God joining the two sticks back together in the future is only one of many Scriptures that is against those ideas about the ten tribes.
It's very probable, and possible, that some of the small number of ten tribe Israelites that chose to move to Judea and join with Judah when Israel was split (2 Chron.10:17) then trekked back to their original homes in the northern lands after... God had removed the ten tribes in the north captive by the kings of Assyria, with the king of Assyria supplanting them with Babylon peoples who became the Samaritans. But one of the most telling Scriptures is how the foreigner Samaritans were being attack by wild lions because they knew not "... the manner of the God of the land." So the king of Assyria sent an Israelite priest from the ten tribes back to the northern lands of Samaria to teach the foreigner Samaritans about our Heavenly Father (2 Kings 17:26-28).
The main reason God removed the ten tribes out of the northern lands of Israel first, was because of how they still had not removed the old calf idol worship in the north that Jeroboam king of the house of Israel had started. Per the Book of Hosea, it is primarily to the house of Israel, the ten tribes under Ephraim. And it contains prophecy about their final return under Christ in the future. Yet Apostle Paul in Romans also joined prophecy about the Gentiles receiving Christ along with those Hosea prophecies of the ten tribes' future return. Thus our Heavenly Father used... the ten tribes of Israel to help fulfill the Isaiah prophecies that The Gospel of Jesus Christ would be sent to the Gentiles also, and by that event the ten tribes would return to God along with believing Gentiles, and then in final be joined back with believing Judah at Christ's second coming as His Church.