Hi Sw0rDz, and welcome.

The CS definitely cannot hurt, as ANY experience you can get in the realm of networking and programming will go a long way towards starting you on the path to security.  Telling you what to do to prepare yourself, for the degree, is not something I can definitively help you with, as I've not personally gone down that path.  I've learned what I know through self-study and progressive work experience, over the years.

As far as growing in security, in general, what I can recommend to you is to decide exactly where you want to be headed, both now, and when you graduate with your degree(s).  Do you want to be a penetration tester, a forensics expert, a security manager?  All of these have differing routes to look at, so you have to focus on which direction you want to go and make sure your classes and experiences lead to the end goal you want to achieve. 

Assuming you want to be more of the technical guy, and less mgmt (based on the things you seem to be wanting to study right now), programming knowledge certainly won't hurt in the security field.  You might look into varying languages, such as (not all inclusive, I'm sure):  C/C++, Perl, Python, Ruby, PHP, SQL and others.  Knowledge of networks and how the various protocols and OSI model layers will go a long way, as well, towards effective security skill, as you've begun learning with your CCNA, etc.

Keep working hard, and always ask plenty of questions here, and I think you'll be well on your way.

Good luck, and let us know how you progress!

Thanks guys!  Right now I'm just taking the courses that are absolutely required to get a CS degree, and when I start picking my optional courses, I'm going to talk to my Adviser and/or a past teacher (Security officer [He sort of inspired me.]).  Since I'm a math major as well. I'm going to ask the math department what I should do to get take a few of their Encryption courses (assuming that will help).

Little fyi, 80% of my knowledge is self taught.  I've got a library, including course text books, 50+, including a few books on security itself.