Unfortunately, I do not have good news for you. The answer is that no, you cannot get Political Asylum status through your partner because you had to have been married BEFORE your partner was granted Political Asylum. Here is an official link to prove it:
The family relationship had to exist before you came to the United States as a refugee or were granted asylum:
· If you want to file for your spouse, you had to be married before you entered as a refugee or were granted asylum. See the “Refugee & Asylee Spouses” link to the left for more information.
So you will not be able to get that status. The children can get the status, but not you. When your partner becomes a U.S. Lawful Permanent Resident, he can petition for you to come as a U.S. Lawful Permanent Resident and that will take about a year or so. You cannot become illegal in the U.S. in order to get Residency through him if he is only a Resident. If you do become illegal before getting Residency, then you will have to wait until he becomes a U.S. Citizen 5 years after he gets Residency. I am truly sorry.
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