Obviously the solution isn't to defund what you admit are overly funded fire departments, and increase funding to what you admit are underfunded EMS departments.
But if all you do is pull rescue money from fire departments and give them to EMS to perform rescue, won't you still have the same issue with an underfunded EMS side, just now they also have a well funded rescue company which has moved from fire to EMS?
I say we worry about the issues that EMS has right now, namely a lack of education and recognition, before we decide to start adding additional responsibilities.