Not quite: they actually wish conservative Catholics (though a minority) were all celibate, and are alarmed that conservatives overall have more kids then they do (which they replace with pets, with 4 times as many being in the USA than kids), but what they basically hate is real marriage.
Yet the birth rate is continually dropping in the United States of Contraception, and Catholic states are overall the lowest .
Studies for the United States now show that Catholic families have, if anything, fewer rather than a greater, number of children compared to Protestant families who have similar incomes and education. A similar reversal has occurred in international comparisons. Catholic countries like Spain, Italy, and Poland now have total fertility rates-the number of children born to the average woman over her lifetime- of only 1.4, 1.4, and 1.2, respectively, far below these rates in the predominantly Protestant countries of Northern Europe. Even “Irish” family patterns no longer hold in Ireland, where the typical woman has a little less than two children over her lifetime instead of four or five, even though she is not marrying any later than the typical Irish woman did in the past. - http://www.becker-posner-blog.com/2010/11/the-behavior-of-catholics-and-contraceptive-use-becker.html
Cath. birth rates are much higher in Africa and S America, but Islam overall has the highest.
Monsignor Vittorio Formenti, who compiles the Vatican's yearbook, said in an interview with the Vatican newspaper L'Osservatore Romano that "For the first time in history, we are no longer at the top: Muslims have overtaken us". He said that Catholics accounted for 17.4 percent of the world population—a stable percentage—while Muslims were at 19.2 percent. "It is true that while Muslim families, as is well known, continue to make a lot of children, Christian ones on the contrary tend to have fewer and fewer," the monsignor said. - https://en.wikipedia.org/wiki/Muslim_population_growth
“Not quite: they actually wish conservative Catholics (though a minority) were all celibate...”
Well, the way I see it is that they want everyone to have sex, including the unmarried and especially clergy. They just don’t want them to have kids because of it. The discipline of celibacy for clergy and religious in the latin Church is universally hated by liberals of any faith. Just like the prohibition of birth control within marriage is invariably hated by the liberals of any faith.
Freegards