Stick with your joystick, I think you will find it easier. I use the TM HOTAS X and I think it is great for this game.
The combat tutorials use "fixed" weapons, i.e. they don't offer any kind of aim assist. When you have earned a few credits in game you can upgrade your weapons for "gimballed" versions which lock on to a target (sort of) if close enough to the cross hair so you don't have to have perfect aim. The downside is that they don't do as much damage per shot as the fixed versions but the plus side for me (who can't hit a barn door from 2 paces away) is that I get more shots on target.