Don't be fooled by the overblown rhetoric of a journalist. Physicists are always waiting expectantly for the latest violation of muon g-2. If you read the FR discussions here and here, you'll find my explanations of the significance of muon g-2 violation, and why we expect such violations to appear.
The muon g-2 result hardly turns physics on its head. We've always known that the standard model of particle physics is incomplete. What the measurement does is pare down the myriad extensions to the standard model that are floating around out there. At most one of those theories is correct. In any case, is highly unlikely that the correct model will overthrow much of what we already believe we know about particle physics.