Shelling Taiwanese government installations from afar will not result in the disappearance of the Taiwanese government or military victory. It will most likely have the contrary effect, the strengthening of the Taiwanese resolve for indepence, a no going back to moment for them. Even those who are vascilating on this issue will likely swing completely for independence once they see dead, injured and bloodied Taiwanese officials and civilians. Second, shelling government buildings from afar will not give China any military advantage.
Instead, the PLA will lose the element of surprise and will allow the Taiwanese and allies to prepare for the invasion. Third, doing so will most likely result in China losing 90% of World trade in an instant. The international community will not stand idly by while China destroys 80 years of effort to prevent WW2 type of wars. And not even China can tolerate that kind of isolation. Fourth, a lot of volunteers from other countries like the US, Hongkong, Japan, even the Philippines will most likely flood Taiwan to help defend it against the expected Chinese invasion.
In the final analysis, no doubt China has the vast advantage over Taiwan but as long as the US, Japan, India, Australia, UK, Philippines, and other countries support it Taiwan can weather China's pressure, and more importantly China can be effectively deterred from doing more drastic measures.