For some of the more secure sites, you may not want to have Autodesk 360 installed. The easiest way to not install it is to customize the installation.
Expand the accordian and change the value from Typical to Custom and uncheck Autodesk 360 for AutoCAD.

Thanks to Vicki Coleman for sharing this tip with the community.
Epilogue
The AutoCAD SQA team has informed me that this only prevents the 360 component from being installed from within AutoCAD. You may need to manually remove it from Programs & Features.
The only way to completely not install it is to edit the setup.ini file as noted in the forum post below:
http://forums.autodesk.com/t5/AutoCAD-2013-2014-DWG-Format/How-To-Install-AutoCAD-2014-WITHOUT-Autodesk-360/td-p/3871851
Please check out the comments in the post via http://www.jtbworld.com for more info as well!
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If you have uninstalled the component from AutoCAD, you can now remove it from the CUI. Just watch the video below:
1. In AutoCAD Type: CUI
2. Right Mouse click and Customize Current Workspace.
3. Go to the Workspace Conents > Autodesk 360
4. Go to Properties and select Appearance > No
Video: Remove-360-from-AutoCAD-ribbon
Epilogue III
You can also disable the Communication Center in AutoCAD to remove online functionality in the product as as well.
http://usa.autodesk.com/getdoc/id=TS14863102