"Reducing the influence of money" is fairly inconsistent with what money is. If anyone can influence anything in any way then having money is going to help them do it.

What you need is a way to reduce corruption, i.e. create a structure where diverting public funds to special interests or passing laws that limit competition can be vetoed by someone with the right structural incentives to actually prevent it.

I can't tell if you're being pedantic, or somehow misunderstood my point. To be painfully crystal clear, I meant "reducing the influence of money [ON ELECTIONS, via eg campaign finance reform, and/or related measures designed to correct the structural problems that currently make it corrupt by default]"