Even as a driver, if you think about the second-order effects of getting more (other) people out of their cars, it becomes obvious that it would improve traffic for you. An enlightened self-interested driver would want to increase investment in alternatives to driving, since that is the only proven solution for congestion.
Getting people out of cars also reduces tax spend on road costs. Bike infrastructure lasts longer and is cheaper to maintain than a road, which can result in improved municipal finances.
As a video: https://www.youtube.com/watch?v=d8RRE2rDw4k