One solution option is to...
One solution option is to upgrade to a set of Hella halogen headlights. They use a harness that essentially bypasses the car's existing headlight wiring for a safe installation that will handle the higher electrical demand. Offered by Reenmachine of Ventura, California, the package consists of a pair of Hella high-performance halogen H4 headlights and the modern high-output relay-driven wiring harness. This kit costs $225.
Visibility Options
The sealed beam headlights that came on a classic Mustang were standard equipment back in the day. At night it was fairly easy to out-drive your headlights, meaning the distance required to stop was greater than the distance that you could see. It's sort of going on faith if you will. In an early Mustang, a switch over to the brighter halogen sealed beams can be a big help. However, if your car has the OE headlight switch, the circuit breaker built into the switch can begin to overload and the headlights will flicker or go out altogether. Replacement switches with a higher rated circuit breaker are available and they will allow you to run somewhat brighter beams, but you're still limited by the factory wiring when it comes to running more powerful headlights.

Here are the Hella lamps installed...

Here are the Hella lamps installed into this '65 Mustang. They look like the standard sealed beam, and apart from the wiring, the installation is the same, but they are much brighter. They emit a cleaner white light when compared to the yellow-hued light coming from the original equipment, and do not rely on the original aged wiring.

To up the ante, KAR Auto Group...

To up the ante, KAR Auto Group now offers this kit to install late-model-style GT foglights into early Mustangs. This kit is for the '65 model and is called the Formula 4 inboard light assembly. It includes the '65 GT grille with cut outs, seven inch diameter foglights, wiring harness, and mounting brackets. The price at KAR is $695.

Here are both the Hella lamps...

Here are both the Hella lamps and the GT foglights installed and shining on this good looking Mustang coupe. With these substantial upgrades the driver will have much more leeway before out-driving the headlights.

These Delta Xenon headlights...

These Delta Xenon headlights are another bright option. We found this four-light system for '69 Mustangs or any other car that uses 5 3/4-inch headlights. This package consists of four Delta high-performance halogen H4 headlights and a modern high-output relay driven wiring harness. The cost at Reenmachine is $279.

Installed into the stock headlight...

Installed into the stock headlight openings on this '69 Mustang, these Delta lamps seem like aircraft landing lights when the high beams are fired up at night. This '69 model is the only Mustang ever produced with a standard quad-headlight arrangement.

Another alternative for headlights...

Another alternative for headlights is LED. This new technology provides excellent illumination in a 7-inch round lamp for forward-lighting, 12-volt applications. LEDs offer extended life and energy efficiency. They have a bright and crisp white light output, and offer long service life and great dependability. The LED headlamps feature solid-state circuit board assemblies for shock and vibration resistance. They have hard-coated polycarbonate lenses that offer 30 times the impact resistance of glass. The kit costs $578 and is warrantied for the life of your car by Mustang Project.

Taillights are another area...

Taillights are another area that can use some visibility improvement. Modern LED conversion kits are now available that allow you to use your stock taillight housings with LED inserts. LED lamps are brighter than the incandescent bulb, generate no heat, and require less current to operate. Here's an LED taillight kit for a '69 Mustang from the Mustang Project. The upgrade is at least twice as bright as a conventional setup. The kit is now being offered at a price of $99.95.

As you can see, the LED panel...

As you can see, the LED panel simply installs into the stock taillight bucket. Reassemble the taillamp housing with the LEDs in place and you're ready to go. A very brilliant display results from a press of the brake pedal. The running lights are also brighter than stock. It's a cool upgrade for only $100.

Classic Ford cars with a standard...

Classic Ford cars with a standard interior came equipped with a non-prismatic inside rearview mirror. Traffic behind you will blind you even if that person isn't running their high beams. Switch to an automatic dimming mirror like this aftermarket Gentex unit and the excess light striking the rear view mirror at night will be discarded before it reaches your eyes. This unit even features a compass and ambient thermometer. It attaches to the stock mirror arm and is easily wired for power. We found it for $238.95. If you don't want an aftermarket mirror, then you can still get the manual prismatic mirror that was optional back in the day. It is far better than one with no prismatic function at all.