[ThePhysicist]

Private browsing mode is helpful in the sense that it disables all extensions by default (Google seems to have understood that they pose a privacy risk), but as others have pointed out it won't protect you from tracking by your ISP or IP-based tracking (if your address is stable over longer time periods).

I recommend using a VPN solution with rotating exit nodes, e.g. Zenmate. This will make it much harder to track you based on your IP address (as many people will share the same exit node address and as it will often even change randomly between requests), and it will keep your ISP from spying on you as well as the only thing they see is the VPN connection.