Yeshivas don’t get money for busing. The state mandates that students living 2 miles away in elementary & 2.5 mile away in high school must be provided with school busing by the Board of Ed. This mandated busing applies in both NY & NJ. They do get grants (which are like money) for text books, security systems, furniture to name a few things. As far as tax breaks for yeshiva they are a nonprofit org. and these tax break are based on IRS regulations.
As far as NY regulating Yeshivas while technically your correct they have never really enforced core curriculum in the yeshivas so to some extent they are unregulated.