Personally, I don't see any reason to be bothered by doping; it's just another form of performance technology. To me, it isn't any different from eating a high-protein diet. Or having a genetic anomaly that makes your muscles slightly more efficient.
They chase money and evidence around precisely because people like you will stop caring if they can't prevent doping. You draw a (very arbitrary) line between 'natural' and 'unnatural' athletes, and you create a market for goon squads to hunt down the unnaturals to preserve the purity of the culture.
It never was a pure contest of man, willpower, carbon-fiber, and asphalt. It's also a contest of means, luck, money, food, biology, and genetics. Even without the doping.