Not advice, but my experience with the same feeling began to ease when someone told me that being upset about, say wars overseas, was not itself helping anyone anywhere and was in fact harming me and those around me.

Another nudge away from caring too much about too much came when I began making conscious efforts to care even more about things I had a part in or things I could control or do or say, which gratefully left less time and energy to care too much about the rest.