55.2-59 Sudden shutdown-58 Apache

[RostaRob]

I have a perplexing issue that happened to me a dozen times last night while driving my 58 Apache to a local car show. While driving on the freeway and side street it would just stop running. A few times it kicked right back on almost as if someone was pinching on the fuel line and then releasing it. If it didn't come back on by itself I was able to throw it into neutral and turn the ignition and it fired right up. Any thoughts? Fuel filter? Fuel pump is mechanical? Rob.