Pulsating lights

It's not unusual, but it's not normal. And while a solid-state regulator will usually be steadier than a points-type unit, it won't solve the other issues that contribute to erratic voltage regulation. The wiring all has to be in excellent condition including all the connections, and the regulator, alternator, and battery ground plane all need to be tied together electrically. Run a new 14ga wire from the "GRD" hole on the back of the alternator housing (to the voltage regulator base, and from the voltage regulator base to the battery negative terminal. See here and here