You only need to watch the first 3:10 for broad-strokes.
Cliffs:
He is addressing the inability of archaeologists to evaluate value of artifacts due to cost pressures and how ceramics are favored over Iron Age objects because of preservation costs, and how those artifacts are significant to human history.
OP title addresses further points raised by the speaker regarding resistance of academics to re-evaluate beliefs concerning traditional points of origin (specifically citing a Babylonian tablet in reference to Trigonometry predating the Greeks). Further, he cites an example of a "Viking Warrior" that was a clearly a woman, and indicators that she was in fact a military leader.
The video is NOT right-wing in terms of modern US ideology. The speaker addresses some issues in reference to "minorities", but he does suggest the barriers in Sweden, specifically, are driven by leftist fears of focus upon white-male contributions. He targets Islamic issues specifically, though he also acknowledges the monetary concerns involved. It does have a immigrant angle, but it's focused on Islam and Sweden.