The real solution is to impose a maximum wage on lawyers. As a lawyer I would happily support a maximum wage. Most lawyers are sickenly money-crazed.
I think the opposite would be a more effective reform - make their base salary so absurdly high that there's basically no incentive for them to take on frivolous lawsuits.
Probably $1,000,000? I dunno, I think you could probably have an economist actually crunch the numbers on it to find out what the optimal salary would be.
If a base salary of a lawyer is a million dollars, then they would be in the top 1% of households.
