60-65 MPH corresponds to the front suspension natural frequency, and vibration at this speed indicates either a static unbalance condition or out-of round-condition.

The latter can often be detected by spinning the wheel and looking at the tread to see if there is any up and down wiggle. More than about 1/32" could result in a noticeable vibration.

Another analysis is to have the wheel/tire tested on a Hunter GPS9700, which can detect out of round on both wheel and tire.

Your original wheels had "white dots" on the flanges and tires with red dots should be mounted to line up the red dots with the white wheel dots. This results in the lowest out-of-round condition of the assembly, but many tire shops are unaware of this convention even though it's been around for decades.

Duke