It could have the opposite effect, of course, and drive them even further away turning what appears to be disinterest into obvious hostility. After spending many long periods in Israel over the past nearly-50 years I do still visit (mainly for simchas nowadays) but with none of the enthusiasm and joy I used to feel. You cannot expect people to react in a certain way just because you wish that it were so.
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Mortar shells kill 3 after hitting pro-army rally in eastern Libya (AP)
from the article: The worst campaign for tourism to Israel ever