I hereby state that I categorically oppose the immigration of Catholics from medieval times because their values and beliefs would be inimical to mine.
As far as molesting children goes, there is a deep thread of pedophilia which runs through the Islamic world, due, in part, to Muhammad marrying a nine year old. Meanwhile, there are no statistics which suggest the occurrence of child abuse from Catholic priests was statistically above that of the general population.
Sexual abuse of minors is not the province of the Catholic Church alone. About 4 percent of priests committed an act of sexual abuse on a minor between 1950 and 2002, according to a study being conducted by John Jay College of Criminal Justice in New York. That is roughly consistent with data on many similar professions. http://www.washingtonpost.com/wp-dyn/content/article/2010/04/16/AR2010041602026.html