It would be inappropriate for a lawyer in this forum based on the limited information provided to second-guess your lawyer.
A disorderly conduct charge pursuant to NJSA 2C:33-2 is a petty disorderly persons offense. A conviction would appear on a criminal background check, though it is not an indictable crime (New Jersey's equivalent of a felony). It is entirely possible you are charged with a different, though similar sounding, offense.
If you are uncomfortable with your lawyer, similar to a doctor, you should speak with him or her, and you are entitled to obtain a second opinion.
I agree with Mr. Mark. Just to clarify, it appears your attorney is doing well for you but not fully explaining the situation. You need to ask your attorney about any amended charge.
It sounds like you are being offered a Municipal Ordinance, a town law. Ask your lawyer if this is so. If this is the case, the conviction (a guilty plea is a conviction) will not appear on the computer. The arrest will still be there if you were charged under the State Criminal Code, 2C (the charge might be 2C:33-2, disorderly conduct - a petty disorderly offense) but the conviction will not. That is because the computer does not have all the town laws in its memory, only the State laws. If you were only charged with a town ordinance the arrest may not be on the computer either.
If an employer asks if you were convicted of a "crime," you can answer "no." If they ask if you were ever arrested for or convicted of an "offense," you would have to answer "yes." If it is an ordinance, it can be expunged off your record after two years; if it is a State Code violation, you have to wait 5 years. Hope this helps.
Why don't you make an appointment to meet with your attorney before going back to court? It sounds like your attorney worked out a deal where you will plead guilty to a municipal ordinance. If that is correct, you will not have "a record."
I agree with the assessments of both of my colleagues. Discuss what they said with your lawyer, as it appears that as Mr. Cheser stated, that this confusion may be the result of a communications issue between the two of you. Good luck.