I'm in Zone 7b, with hot summers and cold winters. Here the iris have two dormant times--summer and winter. They grow like crazy in spring and fall. August is the recommended time to dig them up, thin and divide if necessary.
One fall, a neighbor's gardener cut her iris to the ground with a string trimmer. I was horrified. The iris just came back in the spring, bloomed fine, and didn't look any different.
I generally agree with Lucy on this issue, but I do recommend clearing out the dead leaves and flower stalks.
If you can't tolerate the current messy look, it's fine to trim up the leaves, just short enough to look better. Trimming to an inverted V shape neatens them up and doesn't do any damage. I don't recommend the string trimmer method, but it won't kill them!