(Thanks to Larry for inspiration on this one.)
By definition, world events affect us because we live in the world. Being aware of what is going on around is therefore a good thing, and will prepare us to deal with happenings over which we have control.
There is a danger, however, for born again believers in the Lord Jesus Christ if we become too focused on the world's social, political, economic, and cultural doings, especially the things that trouble us. We may be distracted from confronting the greatest danger that threatens us, namely, that we succumb to the personal temptations that face us on a daily basis. Our spiritual enemies ever seek to divert our attention from trusting and obeying God in the present moment and circumstance, and from being faithful to Him in the everyday matters of our lives. It is there that genuine godliness is most required, and most revealed if we are truly living our lives "looking unto Jesus, the author and finisher of our faith" (Hebrews 12:2).
In changing and challenging times, and in the era of almost instantaneous mass communication, the world is more with us than ever before. The possibility of being distracted from facing our primary challenge is therefore with us also, and we must exercise much determination to fulfill our calling to personal faith, obedience, and ministry to others through the power of Christ. Indeed, if we face this challenge successfully, we will discover that our hearts will be kept in peace regardless of world's ebb and flow. We will also find ourselves far more enabled to deal with the changes and challenges in a manner that glorifies the Lord Jesus, and leads others to being sure that the main thing remains the main thing, and the first thing, the first thing.
"Seek ye first the kingdom of God and His righteousness, and all these things shall be added unto you."