Well, you don't need to include it on your resume.

If you want, you could easily say you did odd jobs between X date and present, to get by.
Or just leave your last real job on the resume and not mention the McJob at all.

To take a rather extreme example.
Let's say you hated your last job, to the degree that you wanted to quit/be fired, and as a result were late to work almost every day.
And when you were fired, you got into an arguement with someone and an actual fight occured at the office.
Sure, this probably would never happen to anyone...

But, if it did, would you feel obligated to list this as a recent employment reference?