I in no way think your chosen path is wrong. Congrats on pursuing an information security degree!
But as you say, it is something you need to work toward. B.S. in ISsec is a good technical start. If you wanted to do a more managerial route, it could help with working with the business-types out there, which will come in handy too.
To me, a B.S. degree is simply a way to get in the door of a company, just like any career certs. Most companies require B.S. degrees simply to make sure you are the kind of person that can stick something out for 4 years regardless of what "it" is.
The real trick is to keep your career goal in mind for the following years after school. Keep pursuing it and learning as much as you can, taking as many opportunities as you can to move ahead toward the goal.
A common sentiment in this industry seems to be excitement about security is not enough, you need to REALLY know what you're doing to be taken seriously. Go after the degree/certs not for the title but for the knowledge that title describes, and if at the end you can't talk at length about what you just accomplished then you probably missed something. Ask yourself, if you were a business owner, would you want you securing your network? If not, what can you do to develop that confidence?
Keep your goals in sight, get your degree, and keep moving and before you know it you will be there.
"Live as though you would die tomorrow, learn as though you would live forever."
CCNA, MCSA, MCTS, Sec+, Net+, Linux+, CEH