It happens every time I start my car. I drive a 2011 SEL and it's done it every since I bought it. It has about 40000 miles on it now and it still has that "shaky" startup. About the only way I've heard of to get rid of that is by installing aftermarket motor mounts. Overall, it's a reliable car and I've never had any problems with the engine at all.
At 108 MPH i can still get 27 MPG.