BA F to TLV is a great flight. True F (pyjamas etc). Flight leaves at around 9am so you would red-eye from NY and connect in the morning in LHR. Concorde room in lhr for the connection...
The return is a little more tricky. The 5pm flight has first class which will arrive too late to connect to NY. So a forced overnight in London (though the Sofitel at LHR is very nice).