Why would you want to get back with someone that you don't get along with and who you have lost your emotional connection to? That would just be stagnating you from getting past these initial feelings that everyone goes through. It takes more then your fear of being without her to make a relationship a happy and healthy... one without all the bickering.
You are just lonely and going through the initial withdrawl of not having her in your life. Give it time and with zero contact you'll not want to go back.
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion