How's your 03?
I too am using an EVO2 now. Yes, the spur gear sits loosely and yes, you can install that outdrive without the rubber cement. Mine's not glued right now but I'm thinking of smearing on some rubber cement on my next rebuild. It might help keeping out the dust plus the constant rubbing against the spline might wear the splines out eventually.
It's a great car. The say its porky but for a club racer like me, its good enough. At least the cost of replacing parts is low. (Read no stripped gears so far
The soft red springs is good enough for our local bumpy track here. I replaced the aluminum steering bell crank with the plastic one to reduce weight. The aluminum center post and tunnel brace near the front gear housing, also had to go. Also removed the sway bars.
I installed rear 04 arms in the rear so the Universal Shaft is straight relative to the outdrive. This reduces wear on the outdrive plus improves transmission efficiency some.
On the front end, I slid the arm forward and added spacers behind, also to improve efficiency.