As AsherO said, I didn't include F in the comparison because from North America there is a dearth of F service to TLV.
AC from YYZ is Y/J
CO from EWR is Y/J.
DL from ATL/JFK is Y/J.
US from PHL is Y/J
Only LY has F and it can't be booked with AA miles, only LY points which are ridiculously high in points required and fuel surcharges (although availability is accordingly quite good)
Of course there are some connecting options in F to TLV (BA, LH, and LX come to mind). Perhaps someone wants to the research on it?