Become famous? I was once almost elected in municipal election, because I was a popular blogger. For greater fame, it helps to be a movie star, or other kind of a person that happens to be seen on TV.

In a country with multiple political parties, it helps to be there when the new party is born. If you read that someone started a new political party that sounds like something you would like, quickly go there, and socialize. They will be happy to have a new supporter, and you will become a member of the inner circle. And generally, be there where is a political debate, make connections, avoid making enemies (even on the opposing political side, because you never know when you may need them, and also being neutral-ish seems deeply wise), use people you know to know more people.

In other words, be a popular extravert, and then do some networking.