The law clearly states that the size of the company and the costs of the "measures" should be taken into account, so that shouldn't be an issue.
> if you make any mistake, you'll be sued out of a company?
If you can prove that you've tried that you're not liable anymore and therefore can't be sued.
> what makes this website not a "content sharing service provider"? All the site does is share links to content.
You kind of answered your own question there.
> And since linking to content will now obligate paying the person you link to
No idea where this linking myth comes from. Commercial websites now have to pay a license fee when they publish substantial portions of press publications.
Source: http://www.consilium.europa.eu/media/35373/st09134-en18.pdf