There is Wide open Delta business saver availability between JFK and TLV as many as 7 seats per date!. Bookable with 111k Flying Blue. Unfortunately it doesn't look like it's available with VS.
TLV to JFK sample dates:
feb 20, mar 4, mar 6, mar 9, mar 11, apr 1, apr 2 ,apr 4, apr 22, apr 29, aug 17, aug 26, aug 30, sep 2, sep 11, sep 13, sep 14, sep 19, sep 21, sep 23,
JFk to TLV sample dates:
mar 6, mar 11, apr 18, apr 23, apr 30, may 2, may 10