The issue isn’t new funding; it’s budgeting and how to spend funds that are already being raised. I believe the Senate can originate a budget bill, as long as it doesn’t include raising taxes.
Regardless, the budget has already been approved past the November election, so all of this is moot for now and instead of worrying about what we could do while Reid owns the Senate, it makes more sense to discuss what the GOP should do if they hold both houses of Congress in January. (Hint: First, the Senate should jettison the filibuster rule, following Reid’s lead.)
That said, if the Senate is still in Reid’s hands then, it’s the “etc.” after “Obammy” in your statement that’s the problem. That “etc.” includes everything else in the federal budget, and not funding it seems to create more problems for the GOP than for Obama. At least that’s been the case thus far.
I think spending bills originate in the House, although that was back when we used the Constitution