Totally false analogy.
Carrots, tomatoes and corn are plants/vegetables.
Hummus, Falafel, Pita, Baba Ghanoush etc. are recipes/prepared foods... that means there is a cultural background.
That background is the region of Eastern Mediterranean/Levante and Arabic-speaking countries.
These recipes were adopted into Israeli cuisine through Jews from Arab countries and picking it up from Arab locals.
There is nothing particularly Jewish about these dishes. Israeli, modern Jewish cuisine is a fusion from all corners of the world where Jews lived for centuries and adapted local recipes to Kashrut law.
There are a few Ashkenazi recipes that have a much stronger Jewish ‘identity’... such as Gefilte Fish.
Rye bread is German, pastrami is Romanian, bagels and other such rolls come from other Eastern Europeans nations. And Corned beef is predominantly Irish, though also eaten in other parts of the Uk !
‘Tomato’ is actually a fruit not vegetable.
I think Israeli cuisine is quite influenced by Lebanese one.