I don't know Badgley Mischka, but Sira des Indes is most definitely a polarizing scent - it's quite sweet and syrupy upon opening, and it features a banana note which many people find objectionable. I love it and find it very distinctive, but I'm a fan of almost anything Patou, fwiw. Anyway, it reminds me of Bananas Foster being flambéed with dark rum in an old New Orleans restaurant filled with all sorts of spicy and delicious aromas, plus vase upon vase of fragrant tropical flowers...over a sensuous base of creamy sandalwood, amber and musk, lol. It's sweet and girly, pretty, flirty, sort of sexy but quite casual. The longevity is okay on me - I suppose I get 4 or 5 hours from the edp...but of course your mileage may vary.
Although I certainly recommend it, I always recommend testing on skin first. I've heard this described as a sickly, fruity horror by people who share my tastes, so you just never know.