Incivility is a general term for social behaviour lacking in civility or good manners, on a scale from rudeness or lack of respect for elders, to vandalism and hooliganism, through public drunkenness and threatening behaviour. The word "incivility" is derived from the Latin incivilis, meaning "not of a citizen".

Which is correct Incivil or uncivil?

As adjectives the difference between incivil and uncivil

is that incivil is (rare) displaying a lack of courtesy; rude, impolite while uncivil is not civilized; savage; barbarous; uncivilized.

Is there such a word as incivility?

noun, plural in·ci·vil·i·ties for 2. the quality or condition of being uncivil; discourteous behavior or treatment.