1. Yes and no. The smaller you make the government's power the less their corruption will matter. On the other hand, if the government handles more things (e.g. Sweden) then I would expect corruption to be attacked more because it harms more people.

The US is kind of a special case I think. They have an absolutely enormous government that few people trust and even fewer think anything can be done to change it. Sweden, for contract, is voted the most Democratic country. Given the size of their government, this seems to imply that they are much more positive about it.