But you're asking for the law to be changed by the court. That's different.
You, and other Libertarians, are alleging that the statute is unconstitutional. How, exactly? Is there a provision in the Constitution which sets forth how the eligibility of political parties to appear on the ballot shall be established? I must have missed that part.
Without such a provision in the Constitution, the legislature has the authority to set it. If you don't like how they set up the eligibility of political parties to appear on the ballot, then you need to remedy it through the legislature.