Short Thoughts on Parshat Emor - Special Warnings for Kohanim

In Parashat Emor, the Kohanim are enjoined not to to shave their beards or strip their hair or making cuts in their skin. But all of these laws were prohibited to non-Kohanim as well. Why is this mentioned specifically about Kohanim?

Respect for Kohanim is to come from their actions, not from cuts on their skin or head.