> if the mainland wants the island, they surround the island on day 1, take over the island on day 2, and install their own government on day 3
Now add typhoon season, the artillery batteries in the mountains, China’s lack of blue-water naval operations (let alone combined arms) and, in terms of allies, the Philippines and Japan.
Sorry. But this analogy reeks of Moscow ca. 2022.
The Taiwanese are not going to fight.
This will be much more like the Taliban recapturing Kabul. If the artillery batteries are like the infrastructure on the east coast, likely they don't work. Taking the train out there is very dangerous. Not 1 in every 100 people dying because the architecture is shit and the local governments are super corrupt dangerous, but incompetence and people just don't care about maintaining them dangerous. They have ~400 combat aircraft but the mainland won't allow them acquire f35s or patriot missiles and anything that would really be a threat.
The Taiwanese are not going to fight. China told them to be quiet and under threat that if they speak out they and their families will later face retribution, everyone went silent. They are surely not going to take arms against China. My dad had a friend, an scientist from China, in the 80s. She was a critic of the government. She had one child in China. They removed one of her young son's testicles and told her to shut up or they would remove the other. The Taiwanese know how it works.
I spent 3 weeks in the Philippines and 2 months in Japan. Neither can afford a war. The Philippines is too poor and Japan's debt is hovering around 235%–263% of its GDP. Japan doesn't even have official diplomatic relation with Taiwan let alone a defense treaty. Japan is a mess with or without a war.
The only thing that will stop China from attacking Taiwan, is a US president who isn't a whining snowflake. If you are US citizen I would recommend electing a US president with a backbone who isn't a pedophile -- for Taiwan's sake.