“Socialist Jesus” is kind of a meme (or, maybe a blowback meme on Capitalist Jesus). But, he was apparently pretty into taking care of the poor, right?
One thing Jesus was definitely not, was an optimizing utilitarian. He repeats in a dozen different ways in the Sermon on the Mount that people should do what is right, right now, and not worry about what's going to happen (worry about tomorrow, worry about what they will eat, what they will wear etc.)
This is obviously not the case, as any economic structure is more complex than just being a chill dude, and the bible has a more complex view of morality than just "being nice to thy neighbor".
No, it doesn't.
It relies on understanding what views today have been described by their opponents as "socialist", and what views Jesus espouses in the Scripture. It does not require:
(1) thinking Jesus is good, or
(2) thinking socialism is good, or
(3) knowing or applying any actual definition of socialism (since it only involves the term "socialism" being used as a hostile epithet, not any concept of whether or not something actually is socialism.)