Kul Tirans learned Druidism independently from Wild Gods. But let’s suppose that was true once. The Draenei have been on Azeroth for many years now. Their closest allies both geographically and generally in the Alliance are the Night Elves. There are Draenei living in Ashenvale with the Night Elves.
They learned Shamanism from a guy they were prejudiced against. They would probably learn Druidism from their actual friends if they were so inclined.
Our ship crashed. Stuff just got loose and we couldn’t really help it.
I spent some of my early days on Azeroth helping put nature back in balance in Ashenvale. I saw a lot of huge hairy spiders and infected bears. Frankly, I think some talbuks would make it a better place.
As a guardian of everything wild and free I can say the Draenei are an invasive species themselves. Look how they’ve taken over that entire little island!