I went to one of the Scientology protests when it was new, but I'm not very emotionally invested in it, so I didn't go to any more. (off topic I think they are saying that the usa gov't is going to look into their tax exemption status which may or may not be good news or no news)

As for WBC - There are a multitude of passages which denounce earthly political affairs. A particular one because it talks about litigation:

1 Corinthians 6:1-8

<sup>1</sup>If any of you has a dispute with another, dare he take it before the ungodly for judgment instead of before the saints? <sup>2</sup>Do you not know that the saints will judge the world? And if you are to judge the world, are you not competent to judge trivial cases? <sup>3</sup>Do you not know that we will judge angels? How much more the things of this life! <sup>4</sup>Therefore, if you have disputes about such matters, appoint as judges even men of little account in the church![a] <sup>5</sup>I say this to shame you. Is it possible that there is nobody among you wise enough to judge a dispute between believers? <sup>6</sup>But instead, one brother goes to law against another—and this in front of unbelievers!

<sup>7</sup>The very fact that you have lawsuits among you means you have been completely defeated already. Why not rather be wronged? Why not rather be cheated? <sup>8</sup>Instead, you yourselves cheat and do wrong, and you do this to your brothers.

But that's probably not a good example - but it shouldn't take you (or maybe Dr Unne) a few minutes to find one that says 'stay away from the affairs of man'