Yes, you seem to be greatly misunderstanding the process.
You have to adjust status (get a green card) after arriving and marrying on a K-1. That in itself is taking 1-2 years. Because it takes so long, after properly filing for the adjustment, you can file for work authorization, which is taking 8 months.
If working upon entry was important to you, CR-1 visa would have been the way to go, as there is no adjustment of status and the green card is immediate.