I've owned a Fuji X100 for some time now. I use it primarily for street photography. I looked at the X100s when it came out and decided it wasn't enough of an upgrade to be worth the price to me. I also took a close look at the Coolpix A and that only confirmed how happy I am with the X100. A few points:
1) I love having an aperture ring on the lens and the shutter speed dial on top of the camera. 2) I have never used a scene mode and have no use for them. 3) The X100 is practically silent when taking a photo. I don't know whether the Coolpix makes noise or not, but I very much like how quiet the Fuji is. 4) Image quality of the Fuji is outstanding, even at high ISOs. I regularly take mine to 3200. 5) Minor point for my uses, but the Fuji has an f2.0 lens 6) I prefer the 35mm focal length over 28. 7) The Fuji has both an OVF and EVF built in. The add-on finder for the Coolpix seems unwieldy - I imagine I'd have to remove it every time I put the camera in my pocket - and it seems horribly overpriced. 8) One point in favor of the Coolpix is that it doesn't need a lens cap. I sometimes forget to take mine off before shooting though, normally, when I'm out shooting, I don't have it on anyway. 9) I read in one review that there's no way to zoom into a 100% view and scroll around when reviewing images on the Coolpix. Not sure if that's true, but it would be missed if it is. 10) The flash on the Fuji works surprisingly well as a fill.
If I needed to replace my X100 today, I'd go with an X100s, not the Coolpix. No contest for me.