You can see the same pattern of godlessness in highly Protestant countries, too. England, Netherlands, Sweden/Norway/Denmark...And Remember that the many of the central American countries (El Salvador, Belize, Guatemala) are close half Protestant now, while Nicaragua and Panama have strong Protestant minorities.
Oh, you mean they all have drug cartels and the same level of corruption in their government that Mexico has had for DECADES as a Catholic country?
Shall we look at other examples of Catholic countries and their history? Like the Dominican Republic? Haiti? Colombia? Brazil? Virtually ANY South American country? Cuba? The Philippines? Ireland? Italy? (think WWII and what side they were on)
The Catholic church does not have history on its side when it comes to building a case in support of it.