Is it idiotic to stack components directly on top of one another?

I'm thinking of a SS integrated amp, CD player and tuner.

Would it be idiotic to place a very heavy and solid Electrocompaniet CD player directly underneath a heavy vintage Accuphase integrated amp and tuner? Would the vibrations degrade the CD player performance, or would the weight mitigate that issue to a large extent?

The amp runs quite warm, so I'd rather it be on top.

Also, if it is an obvious mistake, are there any isolation shelves or other work-arounds that would look nice, and wouldn't cost a small fortune?

Thanks for your input!

Tony