If in the end Libya is cut in two how much money, years of effort, and nation building is the US committed to in the non-Kaddafi Libya?

With the US and the world community (those with an interest) who are helping the rebels under the mantel of protecting civilians but doing nothing to stop the rebels from being rebels and that ends up splitting Libya into two nations, how long is the US committed to helping the New Libya out five years, eight years, another two decades? And with our nation being as broke as we are how much money is Washington going to sink in this Middle Eastern money pit, 50 billion, 200 billion, 840 billion, more? Nation building is not cheap. You may say nation building won’t be Uncle Sam’s cup of tea but how else do you assure you have a puppet in place and Al Qaeda out?