By showing our distaste and by acting against those foreign companies in boycotting their products in our own countries, by pressuring our governments to also stop catering to these companies there is still a lot we can do.
The court may be Swedish, the defendants may be Swedish, the site may even be Swedish, but the companies and groups pushing the prosecution as well as the result of the prosecution most certainly are not purely Swedish and it is against these that we can act.
The biggest lunacy present in the "hey, US laws don't apply on foreign soil" argument in the piracy defense argument is that all the bloody content that's pirated isn't Swedish!
How hard is it for piraters to understand that certain films and music won't be as prevalent if the profit incentives are zero? People don't work for free and resources (sometimes a TON) are consumed for these works to be made!
I'm a cofounder of a small software company that makes entertainment software and we have definitive, crystal clear data that shows how we've been hit by piracy--almost to the point of putting us out of business.
Engineers, artists, and writers work their hearts out to make copyrighted content and software, and it's absurd that their work can be illegally obtained simply because it's technologically possible.
By the same logic of the pro-piracy people, cloning someone in the future won't require the subject's permission since it doesn't hurt the subject. We need to do a reality check on the ownership of the creative works.
Of course you can't flap your arms and fly to the moon. After a while you'd run out of air to push against.