Hi, splol4.
All of the posts above are accurate enough but two things stand out to me. The rack with all that hardware will be pretty heavy, heavy supports are good at passing low frequencys, exactly not what you need.
A wallshelf is a good idea, but some racks, maybe yours, have a separately spiked subtable to fit on top, check it out.
The other issue is ported speakers which load the bass driver in a certain way to improve bass weight and extension. Unfortunately such design means that, an octave below the tuned frequency there is no loading on the bass driver at all, so quite modest sub bass noise can cause excessive movement of the bass cone.
Unlike some people, I think this is an important issue and would look to minimise the problem. Address the turntable support issues first, this should solve the problem but if they do not, a change of pre-amp or speaker might be required.
PS. Check out your floor by moving around the room while playing a record, if your footfall causes obvious movement of the bass cone, then a wall shelf for the player is really important.