I don't have any personal experience or knowledge on this issue but sounds like you are pretty desperate right now so I will give you my two cents.

Pardon my ignorance but what does "koleg" mean? Is it a name of a place?

This info should answer your question. I hope you know that once you are legally married to someone your "wife" is entitled to spousal support. Also, there always is risk of blackmail.

Work Permit

One of the big advantages of marrying a U.S. citizen is that an alien spouse inside the United States can get permission to work while going through the green card process. Non-U.S. citizens sometimes mistakenly believe they can get a work permit independently of filing for a green card. In most cases, though, an alien can obtain a work permit only when he or she has filed an Application to Adjust Status (Form I-485), which is the official name of a green card application filed inside of the U.S.

In the case of marriage to a U.S. citizen where the husband and wife are inside the U.S., the alien spouse can apply for a work permit when the U.S. citizen spouse files the Alien Relative Petition (Form I-130) and the non-U.S. citizen spouse files the Application to Adjust Status
(Form I-485) on his or her own behalf. Since marriage to a U.S. citizen allows for simultaneous filing of Forms I-130 and I-485, the non-U.S. citizen spouse can file for a work permit along with the Alien Relative Petition and Application for Adjustment of Status.

A foreign national spouse that wants to work legally while going through the greencard process obtains a work permit by submitting an Application for Employment Authorization (Form I-765) to USCIS along with the Alien Relative Petition and Application for Adjustment of Status. If the alien spouse does not want a work time at the time the Application of Adjustment of Status is filed but later changes his or her mind, he or she can file the Application for Employment Authorization (Form I-765) after filing the Application of Adjustment of Status.

When USCIS approves an Application for Employment Authorization, it will send the applicant a plastic card called an Employment Authorization Document (EAD), which is the official name of a work permit. In other words “work permit” is the unofficial term for an EAD. Alternatively, USCIS will schedule an appointment for the applicant to come in and get an EAD.

It can take up to 90 days for USCIS to approve an Application for Employment Authorization (Form I-765). An applicant that does not receive an approval within 90 days can make an appointment with USCIS to obtain interim employment authorization, which will last 240 days.

Source: http://www.greencard-marriage.com/content/7_Work_Permit.php