But I don't think it's normal for weather to be -10 degrees F with snow, and then 3 days later 75 degrees F! That seems insane to me!
The climate is going crazy, but strictly speaking, you can't logically conclude that from solely your local weather fluctuations. I.e., climate change is a global property of our planet, which requires global statistics...which we have, but your folks either refuse to look or refuse to listen to experts who have looked.
And extreme weather events are more likely, but that doesn't mean they never occurred before or never would occur without climate change.
I'm not saying this to downplay the severity of the climate crisis or even to say that you literally can never use local weather events to reason about climate change, but IMO is it both politically and mathematically important to stress the global nature of climate change whenever it is brought up.