I have a problem with my 2002 Voyager where the front end shakes when pressing the gas pedal. I have replaced all the tie rod ends and have also rotated my tires. Neither of those have solved the solution. I also have a humming noise sound coming from my front right tire. Trying to trouble shoot the problem here. The tie rods were bad as was the right hub which was also replaced.

 

have you had an alignment since replacing all thoes things including the front hub?

 

Shake on pressing brake would be warped discs but you've got shake on pressing gas/accelerator pedal. With a hum not from front end but right side.
Doug has a point on tyres scrubbing on acceleration but tracking would really need to be well out.
Got a feeling its your right side drive shaft at fault.
Quite a few years ago now, they were having problems with new vans they were putting out, vibration from front ends were reported. After much complaints and testing they had to replace all the drive shafts on the NEW vans.