SomeoneElse

All that happened was that they saw a weakness and exploited it.  For some reason they felt that she didn't know all she needed tp know about you.  There are a lot of people using filipinas as slaves all over the world.  If they thought that she was heading into an unhealthy situation they would stop her to see how things fall out.  If it is a true relationship you have nothing to worry about.  How both of you react to their questions will answer all their questions.  
 
Yes, they probably do have too much power but they also have years of proof of filipinas being abused by their "partners".  
 
I would suggest that you relax and allow her to relax.  If it is truly love that will be seen by everybody.  If it is something else, they have saved her.  It is a game but it is their game.  Please relax and let her know that you love her.  Complaining and getting upset will not help her.  Show her love and support and all will be fine.  Show your anger and being abusive will only strengthen their resolve to keep you apart.
 
I guess you have to decide if stirring the pot works in the best interest of your relationship.  They are not attacking you personally.  They have seen something that makes them question the relationship.  It is up to you to prove them right or prove them wrong.  
 
I agree that sometimes we have to decide which battles we want to take on.  This battle can impact more than just you.  
 
I wish you the best but sometimes it is better not to have the last word in an argument.  CFO isn't going anywhere and sometimes it is easier to work with them and not against them.  
 
Last year they had something like 10,000 US visas approved just from the Philippines.  That is one of the largest groups in the world.  It doesn't seem like they are actively trying to stop immigration.