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Aside from the improbability of the coincidence, I would strongly suspect the differential. I had the same symptoms when I chipped some teeth on the small crown gears - combination of abuse and lack of lubrication. Cornering is where it's most noticeable as that is when the wheels are rotating at unequal speeds and causing rotation of those gears. Since this is a rather involved job, rule out the motor mounts first - it MAY be something as simple as the exhaust contacting some part of the undercarriage now that the back of the tranny has been lifted since the engine will now be tilted more than before (back higher than front now). Lift the back of the car and ideally, disconnect the driveshaft at the diff. Rotate each wheel while blocking the other one, and feel for grinding or roughness. If there is, start by changing the fluid in the differential, but if you see metal splinters in the fluid or on the magnetic drain plug it's probably time... Try it anyhow, if it gets progressively worse then you'll need to do something about it, simplest may be changing the entire rear axle - if ever you wanted to change rear end ratio now's the time... Mine, however, lasted thousands of miles without getting worse. I changed the whole thing because the mounting tabs for the torque rods rusted off the axle housing. Love the Canadian east coast winters...
-Chris
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