Suggestion of alignment was because you had lowered the vehicle not as something that would be the cause of your problem.

As I understand, your X was fine after the new tires, wheels and lowering for some length of time. The steering wheel vibration has become progressively worse over some period of time.

The vibration happens only when cruising between 45-60. It never starts at a lower cruising speed or a cruising speed over 60.

Does the vibration continue if you accelerate from 60 to 80 or so? Does it matter if the pedal is on the metal or will it happen with slow acceleration?
How many miles after the changes did the vibration begin and how many miles has it taken to get to the current level?

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X5 4.6 2002 Black Sap, Black interior. 2013 X5M Melbourne Red, Bamboo interior
Dallas