This one seems impossible given the high percentage of men of a certain generation who served in WW2 - but IMO is certainly doable:
1953 - Robert Taft (R-OH)
1953-1961 Earl Warren (R-CA)
1961-1963 Stuart Symington (D-MO)
1963-1969 Pat Brown (D-CA)
1969-1975 George Romney (R-MI)
1975-1977 Donald Rumsfeld (R-IL)
1977-1981 Jimmy Carter (D-GA) (or Fred Harris (D-OK) if we count Carter)
1981-1989 Jack Kemp (R-NY)
1989-1993 Richard Lugar (R-IN)
1993-2001 Bill Clinton (D-AR)
1953 - Robert Taft (R-OH)
1953-1961 Earl Warren (R-CA)
1961-1963 Stuart Symington (D-MO)
1963-1969 Pat Brown (D-CA)
1969-1975 George Romney (R-MI)
1975-1977 Donald Rumsfeld (R-IL)
1977-1981 Jimmy Carter (D-GA) (or Fred Harris (D-OK) if we count Carter)
1981-1989 Jack Kemp (R-NY)
1989-1993 Richard Lugar (R-IN)
1993-2001 Bill Clinton (D-AR)
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