Im not sure why you posted that, it sure isn't proof that unregulated markets will provide in that department.
You talked about the road infrastructure appearing by magic, that's clearly not the case, road users pay for roads and plenty more besides.
Advocating that rail users pay their costs is hardly earth shattering as an idea. Ticket prices should cover the cost of running the railways plus contribute to future investment. We could then apply the same logic to motorists. The state shouldn't be trying to manipulate the transport market with excessive taxation or subsidies.