Ban the Islamic Party

The Islamic Party - which is still collecting signatures - wants to institute the death penalty for adultery and implement Sharia law. Minister of Migration and European Affairs Astrid Thors (Swedish People's Party) opined a while back that if it can enter the party registry, the law governing these matters will have failed.

Now Justice Minister Tuija Brax (Green League) quoth (fi), "If some association's goal is to weaken women's place in the society, for example by advancing violence directed at women, we must interfere in the matter. The purpose of an association can't be unlawful; for example, it mustn't promote anyone's death or killing."

Does this mean that it's illegal for any party to support the death penalty? Or is it just illegal to support the death penalty for silly reasons? I oppose the death penalty, too, but surely supporting it is a legitimate opinion to have. As far as I know, the Islamic party isn't talking about vigilantism, but wants to change the law through democratic means.

The other thing to take into account is that the party has no change whatsoever to accomplish any of its terrible goals. We're not afraid of the Communist Workers' Party even though it supports (fi) a Marxist-Leninist dictatorship. Ministers presumably don't want to ban it even though implementing its program would entail trampling some of our basic rights. Why should the Islamic Party receive different treatment?