I've been playing the bass for about two years. I got a guitar for christmas in 2007, and then in March 08 I bought a cheap bass from ebay. Eventually I found that I preferred the bass, and these days I don't really touch my guitar now, preferring to play with my basses.
Perhaps it would be the same for you. I recommend getting a squire bass, or a yamaha RBX170 (which is cheap in price but still a good quality instrument) and experimenting with it. You're still new to the guitar, so I'd say it's good to try out the bass before you get too attached to the normal guitar to switch easily.
Many guitar skills can easily transfer to bass, such as basic fingerings for scales, some basic chord shapes (if you like playing chords on the bass), and the ability to use a plectrum (if you like playing the bass using a pick).
Bass requires more hand strength and stretching than normal guitar, though, so it's possible that you may find it difficult to play at first after being used to normal guitar. Heh! PENIS. I found when I first started with the bass that it was difficult to press the strings down onto the frets effectively, especially with the little (AKA pinky) finger. I even wondered if it was a problem with the instrument (since it was cheap and sold as part of a bass package on ebay), but now I know that it was mainly a problem of technique and hand strength.
My short answer is:
Yes, I think you should get a bass. Learning both guitar and bass might be hard, but it can certainly be done.
Let me give you a personal word of advice. This is something I would tell myself if I went back in time to when I was just starting.
Learning sensible, efficient and proper technique is very important. Think carefully about the way you do things, position in which you hold your hands and your arms, the way you press down on the frets with your fingers, the fingers you use and the way you use them. Learning proper fingering is vital, I think.
Also, watch this video:
http://www.youtube.com/watch?v=eXkxu_7Tn48
My comment on this video is: I agree with this man. The one finger per fret system is excellent, but not suited to everything.
Good luck, let us know how things go for you and which bass you decide to get (if you decide to get one).