The reverse linkage goes on the drivers side with bend pointing towards the door. I think it goes just like this, except flip the other two so the linkage bolts to the shifter
brewers performance website
There shouldn't be an issue with it hitting the crossmember. Hopefully you got the right shifter, do you have a center console? I know they make different lengths.
If at all possible, post up some pics, and I will try and help you out.