Psalm 2:6 as King, and Psalm 2:7 as "My Son"

This one one of the stranger claims, that it is surprising that it has gained ANY traction. 

In Matthew 27:37, it has the Romans making a cross for Jesus to be crucified upon, and, to mock him, that put a sign on it that said "King of the Jews".

Therefore, Jesus was king, right?

No. That's not how becoming a Jewish king works.

While Psalm 2:6 does say "I have installed my king in Zion", it will soon be apparent that it is talking about a warrior king who has crushed his enemies.

The next sentence, Psalm 2:7, (which they also claim the Jesus fulfilled) says:

"...YHVH said to me: 'You are My son. This day I have caused you to be born.'"

I won't even bother with discussing who this is talking about. Instead, let's look at the next two lines, keeping in mind that I have already said that, very often, when a claim is made about a verse in the Tanach, a couple of verses in either direction will undermine the claim with ease.

Here or those next two lines:

Ask of Me, and I will give you the goyim as an inheritance, and the ends of the earth for your inheritance. You will break [the goyim] with a rod of iron, you will dash them to pieces like a potter's vessel."

In Psalms, "goyim" is used in the plural form when there is a problem with the gentile neighbors (in this case, the protagonist is supposed to be crushing them). So in this context, it always refers to the enemies of the Jews.

Nowhere in the NT is there a claim that Jesus ever crushed the enemies of the Jews.

Instead, the enemies of the Jews crushed him, and mocked him by calling him "king" as a joke.

Style: "Cherry picking, Jesus didn't fulfill it"

Here's the meme used: