Racing, like any other activity, exists within a societal context which changes over time. Either it takes steps to make itself acceptable within that context, or Parliament – eventually – will. Personally, I would regret the latter as much legislation has unforeseen or unintended consequences that, on occasion, create problems much worse than those they purport to address.
The proper enforcement of current rules re the use of the whip would be a good first step. The horse of any jockey found in breach should be automatically disqualified, just as it would be if the jockey was found to have carried too little weight. Then the current practice of jockeys happily accepting brief bans because the rewards of winning prestigious races are so great would be ended, and the "handicap" on those riders not willing to cheat in this way would be removed.