I love Jicky as well. The "raunch" is a much-maligned fecal note of civet. I've only sampled the edt and parfum, and I find that the civet is stronger in the parfum. But in both, it seems almost like a top-note. It peters out on my skin after a short while, leaving me with a complex vanilla. I admit to disappointment that it doesn't hang around longer, but I can't help loving the whole thing!
I think your bottle is probably fine. Sometimes the hype around a perfume can build expectations a little too high. Focus on the first few minutes and you'll pick out the civet no problem.
And just as an aside, there is a rather strong civet note in Shalimar that hangs around for a while, blended in with the florals. It's most noticeable in the newest formulations.