How will using a linux pc stop Zerocare.gov from capturing your IP address? Honest question.
Ah. Two things. Hackers in general with a virus that captures my keyboard activity and Big Brother who logs my ip address.
About the ip address — it would be surprising if the feds logged your ip address considering that people might do exactly what you suggest — use the library, the wifi at McDonalds or Panera Bread, frequent changes to the ip address by your ISP, etc. I personally would avoid “open” areas like the Library, or free wifi, because those places are less secure because I don’t control the infrastructure.
Some software, games, etc. do log your ip address but usually it is a bit of a pain to track when it changes and always forces an update to their database.