Restricting access to "SkyDrive"

Hello,

I have been given a new task even though I was not a part of planning or installing our SP2013 farm.  We have a SP server internally and we adminster it all locally.

Task: Prevent people from being able to use the "Skydrive" link seen in MySites.  Currently, the setup allows for all users to create their own MySites site and to use their 'SkyDrive' (document library).

I understand that "Skydrive" in MySites is simply a document library for that user.  As well, the 'sync' button uses the tool that comes with Office 2013 to copy SP files in a document library to the local computer.

I have seen in the SP admin center an option to set quotas for peoples sites on a one by one basis which isn't what I'm looking for.  Could someone help point me in the right direction towards being able to configure this option?  Or even its possible?  Please provide a bit of detail as I'm new with SP 2013, I have used SP3.0 and 2010 a little bit.

Thank you,

Drew