I might be wrong, as I am speaking from what I was taught 15 years ago...
1) JC funded the Church: he even called Simon Peter, which comes from the Latin for stone: You will be Peter/¿petra? (sorry, I only had a year of Latin

), where I will build my Church.
2) Luther King did what he did because it was obvious that the Catholic Church was corrupted, and some years later the CC responded with the ¿Trent Concilium? (in Spanish: Concilio de Trento), which, among other things, halted the abuse of indulgencies.
I don't give a damn about the CC, I am Spanish, I live in Spain, and right until 30 years ago the CC helped a dictator to rule our country, with iron hand. But I don't blame then for anything, I just don't care about them. Yes, they do their talk about things like abortion, stem cells, use of condoms and all that: the only thing that annoys me is when I feel that they are not talking just for the members of their club, but for all the people, trying to teach us how to live... but as long as I can simply turn my back at them, I don't mind. A whole different issue would be if they tried to impose their belives, but that's not the case.
Most catholics around me are pretty tolerant: another thing would be "spin offs" like Opus Dei, Legionarios de Cristo (Crist Legionaries).. Those are scary, they made some serious moves to increase their power and had members among the goverment of Aznar, that G.W. Bush "friend". Oh, and it seems that John Paul pushed them up the ladder in the CC (example: fastest ever beatificacion or santificacion -sorry, I hope you understand those words I think I have just made up, I've never read about Catholic religion in English- for Escribá de Balaguer, Opus Dei founder...)