Turntable Causes Speaker Cones To Excessively Move Rapidly

Ok I see multiple areas for improvement. 
I will start with your current problem - rumble and noise. 
1. that rack is not good. It’s a vibration paradise. 
Here’s one very important thing about turntable/analog front end - the signal from your cartridge is tiny, the phono cables will pick up EMI/RFI as well as vibration and your phono stage will amplify it. Your phono stage will also amplify any vibration that it is susceptible to. Having vibration control under luxman on that rack is useless. The vibration will pass thru the rack into the amp and get amplified by your phono stage. 
Try the amp on the floor on its own with turntable only as input. Make sure tonearm cables don’t lay on top of other cables and don’t lay on top of anything that vibrates. See what that does. Ditch that rack. Get a solidsteel component rack and solve your vibration issues. 
2. Room acoustics - you mentioned in your previous posts that you’re experiencing harshness in sound. That’s because you have bare floors and bare walls. Start with area rug. Get a thick rug and place it between your chair and system. 
Then look into corner bass traps and side wall treatments to kill first reflection points. 
Keep the component rack low as components between speakers will reflect sound. Treat the wall between speakers with acoustic panels. 
 

Put a pause on buying equipment and cables until you address everything above. 

This Woofer pumping can be a real problem, first I would check cartridge compliance with tonearm just to be sure...MORE than likely it is the room your system is in! move it to another room or get some major sound absorbing (pillows are easy for testing ) materials and try them out in a few key locations, Get a heavy slab of granite under your turntable, move the sub around or angle the mains a little differently, you need to change the frequency in the room! 

P.S. Don’t bother with a KAB filter, unless you like the sound of a blanket being thrown over your system.

Matt M

I’ll also add that your turntable behind the speaker is probably collecting bass standing waves and passes it through the record into the cartridge then into phono stage. Try moving the stand with the table more into the room. 
You need a component rack man. Badly. This is good stuff https://upscaleaudio.com/products/solidsteel-s3-series-audio-stands
 

I use Solid Steel stands. Table is right next to the speaker - zero issues. 

This took care of the problem for me.

https://townshendaudio.com/product/seismic-platform/