I also have an MMF-7, but have not encountered that problem. There should absolutely be no audible rubbing sound. It could be that the spindle assembly is bent or off center. You may be able to tell more about that by looking underneath the base to see if the bearing assembly looks like it is out of square with the plinth.
One problem that I had when receiving mine was that the sorbothane hemispheres between the plinths were out of position. If the gap between the two plinths was off enough, then this could cause something to rub. This should be easily seen by visual inspection. Also, one of the hemispheres could have slipped toward the center and could be in contact with something. By removing the platter and gently springing the plinths apart, you should be able to get a read on this by using a flashlight. If any are out of position they are pretty easy to put back in the right place.
This is a real nice turntable and a good value. Please let me know if this advice doesn't lead to a fix.
One problem that I had when receiving mine was that the sorbothane hemispheres between the plinths were out of position. If the gap between the two plinths was off enough, then this could cause something to rub. This should be easily seen by visual inspection. Also, one of the hemispheres could have slipped toward the center and could be in contact with something. By removing the platter and gently springing the plinths apart, you should be able to get a read on this by using a flashlight. If any are out of position they are pretty easy to put back in the right place.
This is a real nice turntable and a good value. Please let me know if this advice doesn't lead to a fix.