Yah, people though don't even know what roman catholic dogma really is. For example: Celibacy isn't really a dogma, it's church rule and it's kind'a new within Christianity. Originally people of the cloth were free to decide whether they want to marry or live iun celibacy, as it's still the case within Orthodoxy.
Also, we don't know whether this Unified Catholic Church consisted only of Christian churches, or whether it was a merger of all the Abrahamic religions or maybe others as well. Zoroastrianism and Sikhism come to mind, e.g. We don't even know whether the roman catholic church was part of it. It's even thinkable that it wasn't.
Catholic is nowadays oftentimes used synonymously with the roman catholic church, but it merely means 'universal'. Before the roman catholic church started to exist as a seperate entity, the Christian church of the 2nd century AD was already called "Catholic Church" to signify it's univerality and the Nicene creed also speaks of a catholic and apostolic church, long before the formation of roman catholicism. Also the Eastern Orthodox, Oriental Orthodox, Anglicans, Lutherans, and some Methodists believe that their churches are "Catholic" in the sense that they are in continuity with the original universal church founded by the Apostles. Aside the roman catholics especially the Eastern Orthodox, and Oriental Orthodox churches each maintain that their own denomination is the only original and universal (catholic) church, from which all other churches broke away.
Also, there've been times when and regions in the islamic world, in which pederastic practices have been quite accepted.
So, if one gives it a realistic look and isn't merely going by the stereotype, then well, yes, I think it's a stretch. Especially considering what Vikarion said.