That is a 18x8/18x10 setup but I would go 18x9 up front on a New Edge since the fenders flare out.
That car is lowered 1.5" all around btw. Also, the 275/40/18 is about 1" taller than stock so obviously will need a speedcal or if you are running a tune, get the tune reburnt for the taller tires.
As you can see, the 275/40/18 BFG Sport Comp 2s run pretty big. A 275/40/18 and a 255/40/18 setup would be good for what you are wanting to do and give the car a nice aggressive rake without being too tall up front and rubbing.
Here is a BBK mid pipe btw.
That is a 3650 manual trans but there is plenty of room for an auto too. The 3650 is actually a pretty fat trans itself.