This is the problem mass transit is ideally suited to solve. Hiring 1 professional driver per 2–3 commuters when there are thousands all going the same place is ridiculously inefficient. A bus can easily fit 10x more passengers.
A few years ago I was in Honolulu, and wow is it crazy to have a gajillion cars on a tiny island (separated from any other possible destination by thousands of miles of ocean) all stuck in bumper-to-bumper traffic every day.
They're really convenient, with buses being able to take me to within a five to ten minute walk from most anywhere within the Bay Area that I want to go, and even closer within SF proper. They're a lot quieter than the BART (where I feel I need ear plugs to protect my hearing), it's as clean or cleaner, and there are now apps like Citymapper which tell you exactly which bus to take and when to get where you're going.
My main gripe is that a couple of times buses just didn't show up at all when they were scheduled to arrive (not just late, but just skipped a bus).
NYC's subway system is definitely way better than BART in terms of having way more stops and going virtually everywhere, but it also has its own problems (like the stops being deadly hot in the summer and freezing cold in the winter).
Seattle does this, to the tune of a $800 to $500 per employee fine if they aren't provided a transit pass depending on where the employer is located in the city. Employees can self-certify as biking or walking to work once a quarter, but a year long transit pass is less than the fine.
Rather than fining employers for failure to get a transit pass for each employee, they could tax them per employee and just issue the transit passes.
Meanwhile, employees feel better about their emploer giving them a "free" transit pass rather than a tax funded passes for all plan. It creates a surprisingly strong incentice for people to switch companies to one that will give them a transit pass (particularly among the $100+k a year workers).
Employees literally feel jipped when their employer doesn't give them a pass, I don't think you could create this kind of positive incentive to be a transit rider any other way.
Maybe they could make mass transit better so more people would want to use it?
Dedicated lanes, singal priority, off-bus payment and fining employers that don't provide transit passes is a proven way to start the cycle toward high transit ridership.