Good advice from Hank, though I disagree about leaving the fusible link at factory size. When adding load to the electrical system (fans, ignition, stereo, lights) of course the supply side must be upgraded (alternator to horn relay). I feel the fusible link and battery-to-horn-relay wires should go bigger also, so the battery can power the car with its additional load if/when the alternator fails. Without an alternator, the battery would need to power everything through the fusible link. If that link overloads and melts it would disable the entire car.
What is the continuous capacity of a factory 14g fusible link? 30A? Electric radiator fans by themselves would pull that much current.
My recommendation for wiring a 100A alternator is:
alternator to the horn relay with 8g or 6g wire,
horn relay to fuse panel with 14g fusible link and 10g wire,
horn relay to battery junction with 8g,
battery 12g fusible link, and
2g or bigger for the battery ground, very important to remember the ground side.
Clean the ground cable contacts at the engine, frame, and fender and your new 100A alternator should be good.