The problem is systemic and you're just looking at the symptoms not the disease.

Lawmakers (politcians in power) and lawenforcers (judges, regulators, police) become corrupt in a Capitalism system for a simple reason: when the top social message is "Greed is good", lawmaker and lawenforcers too - just like everybody else - will have as top priority the maximizing of personal upsides, even if only because they too want to "live the good life" that the Media in Capitalist countries is always showing as being lived by others.

So laws are made to benefit those who can make the lawmakers rich and to make it legal for them to get paid in that way, so over time laws and the structures are changed to make corruption de facto be legal (even if only by not being prosecuted).

Similarly in the Justice System you have de facto different criteria depending on the wealth of each side, Justice which is unaffordable for anybody but the rich, arbitrary or non-enforcement of laws and regulations and so on.

It's ridiculous to expect that in a Society were Greed Is Good, people with lots of power (politicians, members of the Judiciary) will somehow put "service to others" ahead of "personal upside maximization".

Capitalism naturally tends to become Crony Capitalism over time and only very strong and genuine Democractic structures (with politics, the judiciary and the press being strong and independent pillars of Democracy, and no mathematical rigging of voting systems to put always people from the same 2 groups in power) can delay that tendency, and if you look around to places like the US with its power duopoly, "vote me ´cause I'm not as bad as the other guy" voting theatre and politically nominated top judges, aren't strong and genuine Democracies.

You shout about "don't legalize bribery" and yet the systems in place in most Capitalist so-called Democracies make sure the kind of politicians who get power are the ones who make bribery legal and even normal, and that the Judicial System is thoroughly subverted to close its eyes to things any normal person would consider Bribery and Corruption - you will never get your wish because the very system is designed for that never to happen and even if by magic tomorrow every politician and member of the Judicial System were impeccably honest and put "public service" above "personal upside maximization", Capitalism would over time subvert it, be it because many of those would look around and see others getting benefits from "personal upside maximization" and think "why not me?" whilst lots of dishonest people are attracted to positions of power were they can more easilly increase personal wealth, such as politics or the Judiciary so over time those areas would be wholly riddled with rot, just as they are now.

It's funny because the whole utopian Communism (a World were everybody is equal) is impossible and always end up in a Dictatorship were some are elite and the rest as plebs, is due to the same human characteristics why "Pure" Capitalism is impossible and will always end up as Crony Capitalism.