It would be impossible to tell "how many Freemasonic cardinals have infiltrated the Catholic church" even it there were any.
There is so much child abouse in the Catholic Church because there is so much child abuse in society.
In every population of human beings are going to a few sick or evil people who commit horrible crimes, even in the Church.
The percentage of pedophiles in the clergy of the Catholic Church is actually less than that of society in general.
These few terrible people do not negate the faith, hope and love of over one billion Catholics.
The U.S. Department of Health and Human Services, Administration for Children and Families report "Child Maltreatment 2006" states that sexual abuse by Catholic clergy was less than one-half of one percent of all cases.
The report states that the perpetrators relationship to the victim was:
29.1% were Other Relatives
26.2% were Parents
24.4% were Others
6.9% were Unknown or Missing People
6.1% were Unmarried Partners of Parent
4.4% were Friends or Neighbors
1.8% were Child Daycare Providers
0.5% were Other Professionals
0.3% were Foster Parents
0.3% were Residential Facility Staff
0.1% were Legal Guardians
All clergy is a subset of Other Professionals and Catholic clergy is a subset of all clergy. http://www.acf.hhs.gov/programs/cb/pubs/cm06/table3_19.htm
Here is the complete document: http://www.acf.hhs.gov/programs/cb/pubs/cm06/cm06.pdf
The 2009 Annual Report prepared by the Catholic bishops identifies 14 allegations of childhood sexual abuse in the U.S. Catholic Church in the 10 years from 2000 to 2009. Please note that there were 65,600,000 Catholics in the U.S. in 2010. http://www.usccb.org/ocyp/annual_report/9_CH4.pdf
http://cara.georgetown.edu/CARAServices/requestedchurchstats.html
The 2007 Associated Press investigation identifies 2,570 public school teachers who, from 2001 through 2005, had their teaching licenses "taken away, denied, surrendered voluntarily, or restricted" because of sexual misconduct with minors.
Here is George Weigel's column detailing the Media's feeding frenzy on the Catholic Church: http://www.firstthings.com/onthesquare/2010/03/scoundrel-times
Here is Father Thomas Brundage's account (he was the judge) of the trial of Father Lawrence Murphy and the misreporting of the media: http://catholicanchor.org/wordpress/?p=601
Newsweek: Priests seem to abuse children at the same rate as everyone else. http://www.newsweek.com/2010/04/07/mean-men.html
With love in Christ.