Jesus was not anti-church, he founded the early Christian church and established Peter as its leader. Catholics are often heard saying to Protestants that God did not give his people a book, but he did give them a church.
The cleansing of the Temple isn't evidence that Jesus objected to combining spiritual with temporal power. Jesus didn't object to the existence of the Temple, he objected to its' corruption by the presence of the merchants and moneychangers. He was still traveling to Jerusalem and to the Temple, and he referred to it as "my Father's house." He was a Jew preaching to Jews and claiming to be the messiah of the Jews. All of that presupposes the legitimacy of the extant temporal Jewish hierarchy and the Temple itself as a holy site. By my reading, Jesus wasn't an anarchist, he was a reformist.
Also Matthew 16:18, where Jesus declares Peter as "the rock" upon which his church shall be built, is well known. You can find more information here: https://en.wikipedia.org/wiki/Primacy_of_Peter
Although personally I would claim the modern church owes more to Paul (for better or worse) than Peter.