Um...no.
Assuming you are running close to a stock style setup, your v-belt driven alternator works just like any other alternator, whether it be v-belt or serpentine driven.
The faster the motor spins, the faster the crank pulley is spinning. The faster the crank pulley is spinning, the faster the accessories are running that are attached to it via belt.
The alternator is one of these accessories.
So, when you are idling, the alternator pulley is spinning as slow as it's going to spin, and the alternator is putting out only a fraction of whatever its amp rating is.
Most factory alternators do a fine job of powering all the electrical accessories (which were not many on classic mustangs), even with the headlights on, heater blowing, radio on, etc. Though, it is not unusual for the headlights to dim a little at idle.
However, if you have even so much as one or two aftermarket accessories on your car, the amperage requirement has gone up yet your alternator output has stayed the same. So, if you have an aftermarket CD player and speakers, or an electric radiator fan, or an MSD box, or any additional pieces that suck up some amperage,than any weak spots in your charging system will be very noticable at idle rpms.