Answer:
There are two main reasons why governments use tax money to supply public goods and services:
Imagine national infrastructure on private hands. Who has enough money to build all the highways, roads, bridges, etc., that millions of people use everyday around the whole country? Infrastructure projects cost trillions of tax dollars every year, and only the government entities (local, state and federal) can afford them.
The same applies for public schools, parks, the police, the army, etc.