The only reason Lindsay cares one way or the other about Israel is because of his dispensationalist notions regarding the conversion of Israel he thinks can’t happen unless it has control of Jerusalem, etc. His whole outlook on international affairs is colored by his biases based in the faulty theology he has embraced.
How and when Israel will see that Jesus is their true Messiah, no one can know or guess or tell how it will come about. Certainly, if the Church has never dared to speculate on it, I don’t see why anyone should take any dispensationalist’s word for it, no matter how many books he might write on the topic.