S.S.
I have the same problem and came up with the best I could do to safe-guard items--especially under the kitchen sink. I opted to put a cabinet lock on the left side door without one on the right side door. This way I can open the right side and reach in to unlock the left side. I only keep safe items on the right side-- colander, trach bags, etc, while those I want to keep out of harms way are on the left side. Not perfect, but better than both sides open.
If there is a lock for framed cabinets, that would be wonderful!