I wouldn't.
The wheels were designed to be riveted and how old are they now?
So long as they are all tight and none missing I'd leave them alone.

Personally haven't had any problems with riveted wheels, nor have I heard about anyone who has.

Grigg

•1951 GMC 250 in the Project Journals
•1948 Chevrolet 6400 - Detroit Diesel 4-53T - Roadranger 10 speed overdrive - 4 wheel disc brakes
•1952 Chevrolet 3800 pickup
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"First, get a clear notion of what you desire to accomplish, and then in all probability you will succeed in doing it..." -Henry Maudslay-