Use the practice range!
Practice flying in debris fields, like everyone has said here.
There is oversteer, it is not point and click. We all have to deal with it regardless of peripherals. It is very manageable.
Use boost and drift to your advantage. I can't tell you the multitude of players who do not use it to their advantage or use it at all. You have a mechanic that allows you to change vector almost immediately. Use it, practice at full engines, and fly around debris fields in the practice mode.
Play around with builds against Ace level AI in practice mode.
Don't get discouraged. There are a lot of people who have years of experience (like myself ) with flight sims and space sims current and past that have the same/similar mechanics this game has. Mouse users can be just as effective as joystick users and vice versa. You will learn, have fun with it, and know with every death you learn something.
One other thing. Joystick users...bump your sensitivity to 100% until they fix the dead zone issues. Without that added curve it's a sloppy mess.