no, only us citizen can help for permanent resident
by legally marrying that us citizen or print a form from the internet requesting to be a permanent resident
Whoever it is better for the kids to live with.
There is no such thing as an illegal US Citizen.
No. He or she is required to apply for permanent residence status according to US immigration laws.
The simple answer is, NO, at least not right away. An illegal alien gains very little from marriage to a permanent resident. You cannot adjust status to permanent resident inside the U.S. You would have to leave the country to apply for an immigrant visa based upon the marriage.
The resident would need to wait until becoming a US citizen until filing for residency for the illegal alien spouse.
First, there's no such thing as an illegal citizen. Second, there's no such thing as an alternative lifestyle. But if you are asking if a marriage between a gay person and an illegal immigrant of the opposite sex would be valid if it is not consummated, that depends upon the laws of the state where the marriage took place. If the marriage was made with the intent for the illegal alien to gain citizenship or permanent resident status, that won't happen. Marrying a U.S. citizen DOES NOT automatically confer citizenship or permanent resident status.
An alien is not illegal as long as she/he has documentation of status. An alien who is documented to be a permanent resident is not illegal. If the alien does not have and never has had documentation of an immigration status, then that person is an illegal alien.
An illegal resident can not get custody of your child and not based on that they have the same last name.
There no such law that states this. It is a factor that would help the illegal when applying for permanent resident status or even citizenship. The child would be a citizen, but not an illegal parent.
Yes you can marry and I suggest you file for Permanent Resident status as soon as possible after the marriage.