Often mistakenly used when the phrase "inclement weather" should be used, the phrase "inclimate weather" actually means "unseasonable weather" due to climate change.
"Inclement weather" means "unpleasant weather which is stormy, rainy, or snowy," and that can also be the meaning of "inclimate weather" when the weather is supposed to be pleasant. However, when the climate and the time of year normally would bring stormy, rainy, or snowy weather, "inclimate weather" is sunny or pleasant weather.
Amos: This is the coldest summer we have had on record. We need to do something about anthropogenic climate change.
Ignore Amos: Dude, there ain't no global warming! It's colder than usual this week, and don't you remember that inclimate weather we had this winter? That was cold, too!
Amos: Anthropogenic climate change does not mean just global warming. It also includes unseasonably cooler weather due to the melting of the polar ice caps. Furthermore, cold weather in the winter is not inclimate weather. I think "inclement weather" is what you meant to say.