I almost forgot that the pre-1910 regime to which you refer as having been overthrown by the Revolution of 1910 was the regime established by the anti-clerical (and anti-Catholic) little "Native Mexican" undertaker Benito Juarez who initiated his regime by putting Maximilian Hapsburg (Emperor Maximilian of Mexico) before a firing squad in the presence of Maximilian's wife Carlotta, had the corpse shellacked to preserve it and sent it to Maximilian's father (Emperor Franz Joseph of Austria) along with the living Carlotta to tell the eyewitness account to Franz Joseph.
Just how it is that allegedly Catholic wealthy families were in league with the likes of Juarez is a bit difficult to fathom and it could not possibly have been on account of any shared Catholicism among them. Of course, Juarez was a bit old hat by 1910 since he probably was not willing to slaughter priests merely for the assumed crime of saying Mass.
Mexico was controlled from 1876 to 1910 by Porfirio Diaz, who started out as a general for Juarez. He gradually changed from a democrat to an autocrat, not an unusual course for a dictator. If you're interested in finding out about him, here's a website with some basics:
http://www.mexconnect.com/mex_/history/jtuck/jtporfdiaz.html
BTW, I wonder what Americans would have done to a European prince who took advantage of civil strife to intrude on our affairs and set himself up with foreign support as our Emperor? What do you think?