Some opinions, summarised to several main approaches, are below. However, you are advised not to try this at home unless you know what you are doing, and even then, this advice is not guaranteed to work.
If you don't know what you are doing, take it to a shop and get it done by professionals; it will save you time and money since you will end up doing that anyway.
You do not have to remove the driveshaft. Roll the alternator to the right side of vehicle. Disconnect the bracket holding a water pipe to the firewall and turn the alternater around 'til you can pull it through all the hoses up and out. Take your time to be sure not to damage the hoses. Disconnect what vacuum hoses you need to and remember where they go.
Remove the air intake housing and the alternator will come out between the firewall and the intake maifold. This will only work on the FI engines. To remove the alternator on a carburetor enhine you must remove the half shaft from the transmission and take it out the bottom or the car.
disconnect bottom of left front strut with front left jacked off ground. This extends strut and with a bracket removed that is attached to back of left side engine block (2 bolts--14mm) there's almost enough room to drop alternator through. So you have helper stand on front steering knuckle brake assembly solid parts to extend strut 2 more inches and alternator drops through.
Disconnect the negative battery cable then carefully jack up the crankest remove the splash guard under the front of car. here it gets a bit tricky if you don't know the parts....disconnsct the left drive shaft from the steering negligent the multiple connector on the back of the alternator and unplug it. remove the clip from the harness bracket. OK, now you are going to remove the terminal nut and unhook the white wire from terminal b. remove the upper bolt and nut to remove the belt from the pulley. while holding the alternator up, remove the bolt that goes through it.