In the Fourth Gospel, much is made of the question of whether Jesus was King of the Jews; and, if so, what this meant. The conclusion seems to be that he was indeed 'king' but not in the usual sense of the word.
Jesus was king, but not of this world. So, the advent of Christ was not, apparently, intended to usher in a new kind of politics and social organisation...
The life of Jesus himself seems to have made little or no immediate and large impact on anything in this world - it was only after several generations of growth in the Christian church that the world began to change.
From the moment he became divine (at his baptism by John); what Jesus immediately did - with permanent effect - was to change what happened after death.
The situation was immediately changed for all of humanity that had lived before Jesus and died, and all who died from that moment onwards. This is indicated, and was demonstrated, by the miraculous example of Lazarus, a man that Jesus loved who died and who Jesus resurrected to eternal life.
This is worth remembering - since it is easy to suppose that Christianity is 'about' living in a certain kind of social or political arrangement. That is how many or most religions see things, and it is how Christianity has often seen things.
But of course Christianity is not just about ourselves as individuals, because it is about love. I think that Jesus's ministry was substantially about planting a seed of love among Mankind. What was needed was that there were people who knew that: 1. That Jesus was the Son of God and 2. Loved him.
When Jesus died, he left behind a small family of Christians. It was Not an 'organisation' - it was a group of people joined by their love of Jesus And of each other.
So The Christians formed a network of love that was joined to Jesus. This is - and always has been - the true 'church'.
How this loving family of believers relates to society and to politics is extremely varied by time and place, and the extent to which it is reflected in formal organisations is likewise extremely varied. But it is the family structure of Christianity that is primary.
In sum: Jesus had an immediate effect on the afterlife, by his offer of resurrected, eternal divine life. And he had a delayed effect on society by his founding of a family of believers, who grew through history (or not) by person to person inclusion in a 'loving web' of Christ-believers.