Big government has nothing to do with this. The protesters themselves are the problem. Not because of their current protests, but because of their previous protests against more housing.

The government has tried, many times, to zone and build more dense housing which would have prevented this problem. The people of SF have been organizing and protesting every step of the way against that for the last 15 years.

Hell, even today they are protesting the increase in housing costs while simultaneously protesting against increased housing.