Including it in your resume or not is up to how you want to handle questions regarding that period in time.
Leaving it in:
You may have to explain why you left the program early. The trick is to put a positive spin on it -- you had personal reasons for leaving. Stating that alone will not help you though. After leaving and completing your education elsewhere, what did you learn from it? Showing that you can learn from a bad situation puts a positive spin on it.
Likely, they won't even care after a few years of job experience. You could even be proactive during the job interview when asked about your schooling and explain it right at the start.
Leaving it out:
You may have to explain the gap between your last education (assuming high school) and the post secondary institution you graduated from. Again, putting a positive spin on it and show how it gave you personal growth helps. Maybe you were working on FOSS during that time, your own little pet projects, traveling etc..
My personal experience:
I was actually in the same situation as you. I finished high school and went to university for two years. Due to personal reasons I left the school and went to a college instead. I'm from Canada, so a 4 year university degree and a 3 year college program in computers is not considerably different.
If prompted specifically about the two years at university, or about my education in general I would go lightly into it. Generally following the theme of I wasn't the right fit for the program and so decided to switch to a program that matched better. Then focus on where I did graduate from and what I studied and learned.
Few interviewers bothered to ask in detail as it really wasn't important. Don't doddle or put emphasis on dropping out.