Jesus was right-wing. He was for the Ten Commandments and Matrimony according to the natural law.
It is cant to say that Jesus was “neither right-wing nor left-wing.”
The “right-wing” consists of people who have deliberately and consciously chosen to uphold what Jesus taught. This is what makes Jesus “right-wing.”
The Left consists of those people who have chosen to wage revolution against God and the natural moral order.
Trouble is there is a secular “right wing” which disproves that thesis. If it can stand without Christ then it does not need Christ and the world can gin it up.