I-485 application with spouse having a convinction

Normally the conviction of the United States citizen is irrelevant, as long as is not a conviction for abusing a minor. Consult with an experienced immigration lawyer to take a look at the criminal records.

I agree with my colleague. Contact a US immigration attorney to make sure your conviction is not subject to the Adam Walsh Act.

You are not presenting yourself to immigration as you are a citizen.

Normally, a conviction will not affect you sponsoring your wife to obtain a green card. However, it will depend on the crime committed. Reach out to an immigration attorney for a consultation if you need further assistance. Best of luck to you and your wife?

Yes - it is a problem if your conviction comes under the purview of the Adam Walsh Act.

A conviction under the Adam Walsh Act will cause a denial of your petition. A domestic violence conviction could raise red flags at a marriage interview if the officer is aware of it. Also, if you have a parole violation or outstanding warrant, it might not be a good idea to go to USCIS. If you are in doubt, it's best to consult with an experience immigration attorney.