The Church has one political principle, called Subsidiarity. It is how God normally acts in the world. The principle is that the lowest capable entity should be given full charter and responsibility. Although God could do everything for us, He prefers that we do these things for ourselves. He permits Angels to do what He could do. He permits humans to do what the Angels could do. This is also an effective principle in government, whether it is running a country or running a household. If your child is capable of doing something, assign it to him. If a small community is capable of carrying out a project, allow them to fund it and carry it through without interference.
The catholic principle of Subsidiarity is directly opposed to the principles behind Globalism. Globalism is about amassing great wealth and power into the hands of a very few. Globalism uses technology to allow this chosen few to dictate and micromanage every project they can possibly maintain control over. As technology becomes more and more powerful, this global technocracy will become more and more intrusive at lower and lower levels. The symbol of Globalism is the pyramid, where the capstone represents the power and the levels represent the control structure. The most intrusive form of government would be one that indelibly brands each citizen from birth with a mark [of the beast] that either permits or denies what they can buy, where they can work, live and travel (see SocScore).
Think Globally, Act Locally is just globalism aimed at the local town council. How about Think Locally, Act Locally? The traditional term for that is called subsidiarity.