You do not have to cut it out. It can be replaced or changed with a few tools and a little patience, and the right Dash Installation Kit. This is a new model Civic, so I'm not sure if there is a Dash Kit available for it yet...see the links below.
If you're not a hands-on kind of guy, I would find a reputable high-end car stereo shop to see how much this would cost (just to do the labor of swapping out the deck) and to see what size units will fit and what Dash Kits are available. Some Best Buy stores can do this as well, but the quality of the work at these is hit or miss. Some installers are very experienced, and some are not. The best thing to do is to seek out private recommendations for the shops near you that can do this type of work. I would even say it's worth driving 100 miles to find a reputable shop. A lot of these cars have A/C controls and other functions that are tied into or "integrated" with the factory stereo units, and if not wired properly, other functions of the car may not work.
There are adapters that allow you to connect your factory stereo to aftermarket amplifiers, iPods/MP3 players, CD Changers, etc. What exactly do you want to do?
Several companies also make interfaces so that you can use the Steering Wheel controls with most aftermarket stereos.
Check out these companies:
and Pacific Audio Concepts at:
Check these companies for Dash Installation Kits & Wiring Harnesses: Metra, Schosche, Best Kit, and American International
Stereo Installation Accesories at:
www.scosche.com manufacturer of Dash Kits & Wiring Harnesses
www.metraonline.com manufacturer of Dash Kits & Wiring Harnesses
www.installer.com seller of Dash Kits & Wiring Harnesses
www.autotoys.com seller of Dash Kits & Wiring Harnesses
Almost anything is possible, it will just require your time or money to do it right.