No, You cannot. You should have known better that Latinas don't take fools seriously!
No!
Yes they retain citizenship.
yes
Yes, he will be able to get his greencard faster, but it may still be a long, grueling process. It depends on why he is illegal. If he is illegal because he snuck into the country, it will be very difficult for him to get a greencard.
An immigrant in the US can petition for his or her spouse who lives in a foreign country as long as he/ or she living in the US has already recieved their citizenship.
Since marriage to a US citizen confers US citizenship upon the spouse, it is not clear how your spouse is an illegal immigrant unless you are also an illegal immigrant (not that you actually said that either of you are living in the US, but that seems to be the most likely interpretation). I also don't know why you are abandoning your spouse instead of getting a divorce. Nothing will necessarily happen; it depends upon what action the abandoned spouse may choose to take. If you are sued, then there could be various consequences depending upon the outcome of the suit.
The citizen spouse has no recourse to the action as US immigration laws no longer allow a citizen spouse to apply for residency for an illegal immigrant spouse. The Mexican national will have to leave the US and file under the required USCIS regulations for reentry.
No, she is not. She will be allowed to remain in the US with her spouse and children, but she will have to apply for citizenship separate from her marriage. The US citizen REMAINS a US citizen. The immigrant remains an immigrant and must follow the legal path to resident immigrant status, and from there to citizenship. Marriage is not a free pass to residency or citizenship.
The same as those of the wife of a legal immigrant, you get half of whatever he has. You may get more if he doesn't understand English
Through the US citizen spouse can get green card after two years of marriage and after 3rd anniversary can apply for US citizenship using Form N-400.
I don't understand your question. Marriage fraud to violate immigration law is illegal and a felony. It is illegal to marry someone to make them legal. It is not illegal to marry an illegal immigrant because you love them. It is not illegal for you to immigrate your illegal spouse...assuming that the marriage is legitimate. It is illegal to mar them.
get a lawyer involved..