Again, I'm sorry to hear about your girlfriend's situation (and by extension, yours). To have a case against this woman, that "cause of action" is called "alienation of affection". It's where a spouse sues his/or spouse's mistress for causing the marriage to collapse. It alleges that the marriage was a happy one, and only because of the actions of the mistress did the marriage fall apart. That's often hard to show, because if it is the spouse's actions that caused it, rather than the mistress, then it's not alienation of affection. Washington does not have an alienation of affection law (in that it's not recognized in Washington). And while the Philippines does, it requires a "malicious act of estranging a person from his/her lawfully wedded spouse or family." That is, it's not even enough to be a "knowing" or "intentional" act, but has to be malicious. The mistress had to make an act specifically out of malice towards his spouse (your girlfriend) to further estrange her, and only then could she have a case against the mistress in the Philippines , not in the US.
Now your girlfriend would have a case against her husband, and it's actually called divorce. Divorce is a legal cause of action, brought in a lawsuit, and it seeks damages. It's a cause based divorce (adultery).
Likewise, she can report the perjury to the Philippines government AND to US immigration, if he's seeking to bring her over and has made a legal filing claiming her as his spouse. But these reports of perjury and any prosecutions are up to the governing authorities. There's nothing that she can do to compel the governments to prosecute the perjury (or any criminal acts of bigamy). The most that she can do is sue him for divorce in Washington state.
Hope that clears things up a bit. If you have any other questions, please let me know. If not, and you have not yet, please rate my answer AND press the "submit" button, if applicable.
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Thank you, ***** ***** luck to you!