First of all, I'm not exactly sure what you mean by "RedHat Fedora." There are two different distributions, "Red Hat Enterprise Linux" and "Fedora Core." Fedora Core is a free distribution, while RHEL is the commercial version. Both are based on Fedora Core.
In some ways, the difference between FC & RHEL is like the difference between Darwin and Mac OS X: One is a free, open project, and the other is a packaged product.
From a technical standpoint, Darwin is the name for OS X's kernel. The version of Darwin that you can download from Apple is a very limited operating system. There's no window system, and only a few basic command-line tools. You could potentially make Darwin look very much like Fedora, or any other Linux distribution, by adding open-source packages like xFree86, GNOME, and apps like Mozilla, but this would take some work.
From an even more technical standpoint, Darwin is based on FreeBSD and not Linux. There are some minor technical and philosophical differences between BSD and Linux, which I frankly don't care that much about.
I don't know of anyone (other than maybe some engineers at Apple) who uses Darwin (and not OS X) as their main OS.