Here's a few samples that might help you, that I took when I bought my Sigma 30 F1.4. I have a 50mm F1.7, which would be near identical to your Nikon F1.8 (it's the Minolta version of a nifty fifty!). Ignore the subject and style of the shots - I was intentionally testing a few things, so I had a dark room with minimal lighting, ISO at 100, and the camera on a tripod at a fixed focus point...it's not the most exciting subject matter and it is dark!
First off, the difference in focal length/width between the two, at the same aperture:
50mm F1.7:
30mm F1.7:
Now, the difference between the above shot at F1.7, and the same shot at F1.4:
There was no difference in lighting, or in white balance - that's just more of the natural windowlight from another room being picked up by the extra sensitivity. It happens to be a bluer light, that just wasn't quite getting picked up at F1.7. With the same shutter speed, you can see roughly how much more sensitive F1.4 is than F1.7 - it's not huge, but when you need just that little extra ounce, it's there. Note that at F1.4, the lens is slightly softer than at F1.7 - not bad at all, but slightly softer - and of course the much shallower DOF at those wide open apertures! What I particularly like on the Sigma is how quickly it sharpens at even F1.7, F1.8, or F2.0...I compared the very acclaimed and very sharp Minolta 50mm F1.7 lens at F2.0 against the Sigma 30mm at F2.0, and the Sigma was incrementally sharper.
I definitely think the focal length is much more usable though...it was the main reason after a year of the 50mm F1.7, I decided to bump up to the Sigma 30. Price-wise, with some shopping around, it can be found for the $350 range shipped (I got mine from Abe'sofMaine with a discount code...there are others in that price but it's up to you to decide the trustworthiness of the seller!). There's one in Nikon mount on Ebay for $349 as of my last check, though I didn't check out the seller ratings.
Hope that helps!