Neither Libra or Capricorn is cynical, so it must be other planets in your astrology lineup causing you this perceived contradiction. Libra Suns are interested in being in partnerships, both in business and romance. Both Libra and Capricorn are cardinal leadership signs, so you are ambitious and should know what you want out of life. Or at least what you don't want. Capricorn Moon emotions are deep and true, you just hold them in too much (I have my Moon there and am guilty of that too)! You shouldn't be struggling with your identity this much over what you tell me here, so I suspect it's something else.
I think you have to do some soul searching and decide what you want out of this time in your life. I don't know how old you are, or what your circumstances are, so it's hard for me to say. Astrology isn't always the answer to everything. Even if you do have issues with other planets in Zodiac signs or aspects from difficult planets, you always have Free Will, and your chart shows ways to combat these problems.
I can do a Tarot reading or cast a Natal birth chart if you want. I can be found at firstname.lastname@example.org. Or you may contact me through my profile on Hubpages.com if you want more privacy.