1997 Infiniti I30 Fickering

It all started after I had my third car stereo (Kenwood) installed on my vehicle. When I'm driving th stereo sound will cut off followed by a clicking noise coming from under the Glove compartment. "Note: while the sound is off, you can see the CD still playing." After a short time the sound comes back, and then it will go off a couple of times during 5 min duration, and then stop. Then One day, someone broke in my car and stole my faceplate of my stereo. I went out and brought my 4th car stereo, it was a Pioneer DEH-P6000UB. This radio is way better than my last one. The next day, while I was driving I started to change the equalizer settings, then shortly after that the sound from the speakers went off and the clicking noise from under the glove compartment came back, but the clicking was at a much noticeable tone. Then the next day when I was driving, the issue started again, but this time all the lights started to blink on and off very fast with the car jerking a little. I pulled over to a parking lot, the jerking stop and never came back that day. Then again the next day it happen the same way, the lights started to blink and the car started to jerk. During this time the radio is on high volume. I did some research and I found a post in which the car owner of my same model had the same issue. He stated that after 3 alternator, 2 batteries, and a coil change. He still had the blinking lights and his car would shut off. He brought a alternator from California that has140amps. After installing it the issues never came back.
After reading that post, I decided to go straight to root of the problem and purchase the 140amp alternator from California. I had a mechanic install the alternator. The car has a bit more power when I press on the pedal, but the issues did not go away. I still get the flickering light and clicking coming from the Glove compartment, and then the car will jerk and shut off.