Ohio is part of the Drivers License Compact, while Michigan is not. Though Michigan is not part of this agreement to exchange moving violation information between state DMVs, they still have their own agreements to report this information to other states and also get notified if a driver licensed in Michigan is convicted of a ticket out of state.

You are correct that in Ohio driving over the speed limit by 17 mph is a 2 point offense, while in Michigan it is worth 4 DMV points. The MI Department of the State notes that if an out of state violation corresponds to a violation listed in Michigan law, than the conviction will be posted to your driving record and points will be assigned as required by the MI Vehicle Code. From this information, it would appear that the Michigan points (4) will be assessed and placed on your driver's license.

In Michigan, points placed on your driver record remain there for 2 years from the date of conviction. So even though the points might have been caused by an out of state traffic infraction, it would appear they will also stay on your license for a 2 year period.