I really want to tell you what you want to hear, really I do. And giving you the information you wanted is likely what some other attorneys did. At best the info they gave you was incomplete, at worst it was wrong. Certainly, if these are not your daughters, if mom is deported her daughters could be deported with her. However, you claimed on a US legal document when these women were entering the country that you are legally their father.
If you claim now that you are not, that is fraud. You can be criminally charged. That is not an insignificant thing.
So, yes, you *can* try argue that you shouldn't be liable for things like child support – but to be honest, I don't even see that succeeding because like I indicated earlier family courts have a vested interest in maintaining continuity for children and therefore if you were to now say you are not the father, who would be? Who would be responsible for supporting them?
The biggest issue I see for you is that by trying to get your ex deported you are saying that you committed fraud - by putting your last name on their birth certificate and claiming they are your children. And someone may decide to pursue criminal charges against you for that.
I hope that clarifies things and I sincerely ***** ***** submit a satisfactory rating based on the comprehensiveness of my response and the extensive amount of time I spent on this matter with you, but I cannot give you the information you want solely to get a satisfactory rating. I consider it unethical and just as importantly it's not helpful to you or to anyone else reading this, since this is a public forum. I wish you the best of luck with whatever you decide to do.