I picked up some of this foam water pipe insulation at the hardware store. It is for 1/2" or 3/4" pipe and cost $1.19 for a 6' length. The material has good density and is about 3/8 to 1/2" thick.
I spread it open, cut a piece off long enough to fit the base of the Eheim 1250 and glued it to the pump with rubber cement.
Huge noise and vibration reduction. I did bolt the pump to the bottom of the case with 8-32 screws and wing nuts. I still can hear a hum and feel very slight vibrations, nothing significant.
Jim