i dont think you'll have much problem going up against people with degrees personally. so many people go to uni these days that degrees arent really worth all that much, it's more about the work experience and other things that you've been doing outside of your studies. what kinda field are you hoping to enter? if you struggle to get a job right out, maybe try for some work experience?
i have a friend who dropped out of an accountancy degree half way through her first year, she now works as an apprentice in an accountancy firm! so even though she didn't get her degree, she still made it into the job she wanted to do. anything is possible. (: