The Japanese architects have figured out how to do exactly that. Japan experiences earthquake after earthquake, but Japanese cities are full of skyscrapers and I haven't heard of any of those having any catastrophic issues of the sort that you seem to be implying.

Removing height restrictions isn't the only way to increase density.

Improving efficiency of land use can be accomplished by eliminating idle and under-productive use, through the tax policy recommended in the article (land value tax).

Because they haven't thought of that and have done zero research on it, so they just build buildings like they did a century ago, right?