> I'm sorry but "your tax" also includes the tax paid by people who drive private cars.

Look up what % of infrastructure costs that tax covers wherever it is you live.

Surprised? Now consider that the infrastructure is just a tiny % of the overall cost. What about the whole car and gas supply chains? What about the externalities of burning so much fossil fuel every day? What about the healthcare costs of having to treat natural consequences of sedentary lifestyles? What about the opportunity costs of the loss of life due to the above and simply due to traffic deaths and injuries?

OP is not complaining about how much the tax covers, but who (people who drive and who don't) pays what percentage.

> we subsidize private transport (our taxes pay for the roads, traffic police, etc.)

My point is: this "we" includes all those drivers too. That is, whatever the $$ that gets paid into maintaining the infra, it comes from "we", which include the drivers. And since the non-drivers also need private companies/drivers to move things around, they are also part of the story. They do not subsidize anything.