When people are like-minded, they share similar opinions or preferences. If you’re really into kittens but all your friends like dogs, go to the cat show to meet like-minded people. Then you can chat about kittens all day long.
Like-minded people stick together. If you love jousting, you might go to a Renaissance Faire to meet like-minded people. If you love Henry VIII, you might find like-minded friends to eat giant turkey legs with. If most of the citizens of your city agree about politics, it won't be surprising that your like-minded mayor is easily re-elected. Like-minded people get along.