Metro's take on this problem is to add more police to the equation, but that's a sisyphean task. As long as there is no way to ban people from the system for bad behavior, having a few random cops walking around isn't going to change things. There's also a problem of people who behave badly but not in a bannable way, e.g. behaving creepily toward women but not fully crossing a line.
My wife tried using the bus system for her first six months working in downtown LA, but ultimately gave up because she was getting harassed regularly. I stopped using the metro after a rider on my train walked up and down the train threatening to stab everyone and nothing was done about it.
You would need a uniformed officer on every single bus and train in the city to begin to chip away at this problem. I suppose it's a budget issue in a way, but it's more of a culture issue.
You’re both saying the exact same thing. LA residents do not care about public transit service because they do not use it. People making under 25k a year do not have the power to compel the city to change anything.