360 motor in 1972 Dodge Demon vibrating

Hi All,

I recently purchased a 1972 Demon with a 360. It has 340 X Code heads, 0.474 lift cam, Edelbrock intake and not sure about the rest. Car starts well and runs well.

I'm unsure of the vibration the motor transfers to the car. When stopped you can see the hood in front of your vibrating, bucket seats vibrating, door panels etc. A lot of the screws in the car have vibrated out. Should I be concerned with this? I thought maybe motor mount was suspect. The motor appears to be firing well and not misfiring. I talked to someone today saying that 360's are externally balanced on the front of the engine that the pulley is mounted on. Perhaps it doesn't have the correct balancer on it? How can I tell if it has proper balancer? I would like to know what your thoughts are or corrective action???

Thanks in advance.