They usually don't. Get polyurethane shifter bushings from Energy Suspension. Put these in whether or not you get the short shifter. Makes it feel nice and more precise.

Careful, short shifters don't work with 6th gen stock exhaust because the heat shield gets in the way. You have to do something: use lower hangers, bend or remove the heat shield, use an aftermarket exhaust, etc.

And seeing as you are beginner at this, go get some jack stands. You do not want to ever be under the car without something reliable holding that 2800 lbs hunk of metal that can smash you to death literally.