Given the expenses you listed, it seems that you may be alright. However, I did not see any categories for internet, cell phones (unless those are part of utilities?), medical/medicine, car insurance and maintenance (unless that is included in the $100 car), clothing, personal care (haircuts), school and child activities, gifts, or charitable contributions.
You say you want to move out of New Jersey but given you have two dependents with mild to moderate disabilities, I would approach moving with caution. Figuring out a new set of state rules/services regarding schools and other services will probably be a huge learning curve and a big change for you and your kids. I'm not saying it's the wrong thing to do, just research heavily beforehand.
Would it be possible to slow down at work and just do part-time?