Hello, I'm a 360 controller user as well. It does take a bit of practice to get used to. I would actually suggest skipping the combat tutorials and doing some trading missions in the game proper. By the time you've flown through the slot and touched down on the pad a couple dozen times, I think you'll find that you're much more steady on the controls. Then maybe try your hand at some combat again. I'm certainly no combat expert but I can hold my own against NPCs in equal or slightly better ships (I'm not into PvP: see signature).
Also, make sure to take your time and set up control bindings that feel comfortable to you. Personally, I like pitch and roll on the left stick and yaw and vertical thrust on the right. Yaw is your best friend in a fight as it is very slow and allows you to make fine adjustments to your aim. Don't forget that you can set button combos too. For instance, A + Dpad Up = Landing Gear Down/Up.
Anyway, I agree that you shouldn't have to go buy a new peripheral just for one game. I've been playing since Beta 1.0something and haven't felt the need to run out and buy an expensive HOTAS (want, though, is another story entirely) Stick with it and enjoy the cosmos!
I agree with most of your sentiments,and thank you for your input. The button combination thing throws me off because I'm not use to games using a combination of the face buttons with the D-Pad, so I'm always hitting the wrong buttons. My other problem, and I freely admit it's my problem, is that I don't normally play only 1 game for months on end. I jump around between a couple of favorites, and as such, I'm always forgetting what does what on the controller. BTW, is there anyway to print out the configuration? And what are some recommended configurations? Such as which elements really should be bound to something? And I assume a combination of keyboard and controller might be a good way for the less used, but still important functions? Such as Set Speed to 50% or 75%, System Map, etc...