I don't see any issue with Israel being excluded from such an exercise. It is not a part of the EU nor is it part of NATO. It's a Middle Eastern state and needs to begin cooperating with its neighbors in its region and not seeking alliances far and abroad, where it has no business. I think it is best that Turkey sets this example and leads the way in excluding Israel henceforth.
Colombia recalls ambassador to Venezuela amid border crisis (Reuters)
from the article: Barak warns against further harming Israel-Turkey relations