CLT shows for this actor a total wrong result, he is totally only credited in 4 films. CLT shows:
"Joseph Patrick Moynihan" is credited in the following 6 titles (51 profiles),
"Joseph Moynihan" is credited in the following 2 titles (29 profiles),
"Joseph P. Moynihan" is credited in the following 1 titles (6 profiles).

and details now following:

Joseph P. Moynihan (1 title, 1 confirmed)
Truman (TV Movie) Fred Wallace (as Joseph P. Moynihan -> confirmed by huskersports

Joseph Moynihan (2 titles, 2 confirmed)
King of the Hill (1993) Woodbine Waiter -> confirmed by me as Joseph Moynihan
Ride with the Devil (1999) Mr. Riggs -> confirmed by me as Joseph Moynihan

Joseph Patrick Moynihan (1 titles, 1 confirmed)
Mars Attacks! (1996) Stranger #2 -> confirmed by me as Joseph Patrick Moynihan

So the Common Name will be Joseph Moynihan