Being called crazy for wanting to bike commute

Hey, I was looking for some advice. My partner and I are planning to ditch our car in less than a week and purely bike for a few months when we need to get places. I work 6 miles from my apartment, and they'll be starting at my job soon.

All we've got are 2 shitty road bikes we're getting repaired by a local bike guy, and we're considering picking up a used road bike that's a little nicer to have our shitty ones as a backup.

But everyone around is saying that 6 miles one way is an absurd distance and because of how early we work (5 am) that we're absolutely insane. Plus, we live in Michigan and weather is so random.

I know you all have some different opinions, considering you're bike commuters, but what do you all think? Is this feasible? Are we crazy?