As an upgrade to the the sound system in the Falcon, I finally got around to ordering a car antenna male to two female adapter from Amazon for $4.92 including postage.
Car Antenna Male to Two Female Adapter.jpg

That will let me leave the outside antenna connected while also adding my $2.87 power-amplified antenna inside the car along the bottom edge of the dash.
amplified antenna.JPG

The amplified antenna will boost the weak FM signal broadcast from my $3 cigarette-lighter MP3 that is received by the FM converter that plays through my AM radio.
Sound System.JPG

That will give a stronger input signal to the radio so that I a get a louder output volume and will not have to turn it all the way up in order to hear it.