Maril,
I notice in your pic that the table sits close in from of on of the speakers. That may be a challenging location unless the floor in your listening room is extremely rigid, like a concrete foundation or such and same true for your stand.
If you can as a test , you might try locating the table behind the speakers for better isolation.
Unfiltered, on most good systems, most records will produce some movement in the woof and possibly the mid-range as well depending because few if any records are cut perfectly or are perfectly flat resulting in low frequency noise.
Relocating the table better and using a record clamp might be two easy things to try to reduce the effect.
Visible driver movement is often associated with the specific record itself. In this case, the patterns and magnitude of movement will vary from record to record.
If the problem is due to vibrations from the table motor system being picked up, I would expect little variability in pattern and magnitude from record to record.
If motor vibration is the source, it would probably persist the same regardless of tt location and specific record playing and this may require servicing of some sort for the table to fix if possible.