L.D. —
There ARE yeshivas in E.Y. that do NOT provide the proper supervision, just as as there are yeshivas HERE that do not provide the proper supervision.
There ARE ALSO yeshivas in E.Y. that DO provide the proper supervision, and it is the parents’ responsibility to make sure to find the proper yeshiva.
As far as terrorism, – in case you haven’t noticed (9/11, the attempted bombing of Riverdale shul, etc.) there IS terrorism HERE, and HaSh-m can protect you, or, chalila, the opposite, where EVER you are.
As far as Torah learning goes, there is no Torah like Toras Eretz Yisrael, – PERIOD.
As far as the expense goes, most yeshivas WILL work with you (to a VERY significant degree) if you have financial issues.