NY looks to see if the offense is a crime under the NY standards. Without knowing the defuinition of disorderly person in Michigan, I cannot answer it. You should probably seek Michigan counsel to vacate the plea and seek a dismissal.
Call the Office of the Professions and ask.
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It may or it may not, but is not a bar to application or licensing. The Office of Professional in your circumstances will arrange for a full investigation into your prior conviction on the issue of the required "good moral character" for becoming a licensed physician. It may decide on allowing you to proceed or not. If not, they must notify you and you have the right to a hearing. If the panel rules against you still, then you have the right to an appeal to the Committee on the Professions. Regardless of filing an appeal, one can reapply after 18 months from service of the panel report.
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