Not sure what is available where you live. here in the UK we can get blades coated with tungsten carbide or something similar that are hard enough to cut hardened steel they would probably cut neo or at least notch it deep enough to break it.
Any grinder should notch it deep enough to get a reasonable break. I am not sure about normal hacksaw blades, I have never tried but they would probably struggle with the nickel coating even if they managed the neo.
Many hard materials can be cut with a soft blade ( back side of a cheap hacksaw blade may be better) and silicon carbide powder and plenty of water. Diamond powder is even better. Just seems too much effort for a low cost project.
Replacing the field coils will get you a working alternator again but it won't work at low speed. To lower the speed you need to rewind the stator. For wind the end result will hardly be worth the effort but give it a try, it will be fun, and cheaper than buying one of the many rewound pmg based car alternator things from various websites that claim they are marvellous.
Flux