Kali linux + school network = disaster waiting to happen in one form or another. So I'm not going to go into this in a general way, because I care about order and serenity.
If you want integration of a linux workstation into a Windows Server based network, the easiest way is to go for OpenSuSE, they've got the entire nine yards of packages required for that installed and configured by default. Normally, linux distros do not do that, because nobody in his right mind uses linux on workstations without first using linux on the server, but hey, OpenSuSE has you covered just in case...
Anyway, a Windows-based network is NOT an enterprise grade network, and schools that use Windows or other stupidity-inducing commercial software console malware, should be crucified, but then that's another story, and up to other people to do and solve...
To be honest, if you're going to use linux on a Windows-based school network, you're probably asking for trouble in this day and age. Something like that would have been considered cool in the 90's, but after the big Bush zombification, it's just dangerous in my opinion to do something like that in the US. If you're not in the US (or another 5 eyes or gitmo state), you have an entire legal framework at your disposal to force your school to stop using Windows (in fact, in several countries it would be illegal for a school to use Windows), and I would suggest you would use legal recourse first before experimenting on the network with linux clients.
In Continental Europe, in several countries there have been multiple instances of schools that were convicted for running intrinsic insecure closed source networks, and exam results have been annulled just by the fact that linux experts have proven that it's very easy for everyone and their dog to commit exam fraud by exploiting the insecure malware-based network, and students have been forced to redo all of their exams because of that (after which they of course changed to other schools, and the Windows using school got filled up by the government for children of asylum seekers pending examination of their case pretty much, which caused almost the entire teacher staff to resign and the school to be turned into a complete ruin in no time, etc...).
It's great that you want to use linux, but first things first...