Currently Out of Stock

There are two ways to handle this:
1. If you don't want stock levels to be checked anywhere on your store, go to your Control Panel, Store Management Tools menu | General Settings | Store Settings and scroll all the way to the bottom. There are three settings to control how your stock works. To ignore stock levels, set the "Show Out of Stock message" to No and "Allow customers to purchase out of stock items" to Yes.

2. If you want to track stock for some items, then you need to set the Disregard Stock on an item by item basis for those items where you don't want to track stock. It sounds like you did this already through the global changes.