FPTP is bad but other methods are similarly flawed:
https://www.youtube.com/watch?v=qf7ws2DF-zk
Keeping a democracy requires people to understand it as well. At least in US it seems they'd rather elect a dictator wannabe who clearly said he wanted to be dictator for a day than elect a woman.
Fortunately the US demonstrated they can elect racial minority president, so different gender president can happen too.