You gotta "f'rinstance"? (I'm lazy, and not quite so self-abusive to read the Constitution Party's platform myself...)
How about their candidate claims that in his first day of office (if a meteor should strike the earth and take out every other candidate) as president, he would end abortion in America. I guess Peroutka hasn't gotten to the portion of the Constitution regarding Presidental powers and the different branches of government.
http://www.worldnetdaily.com/news/printer-friendly.asp?ARTICLE_ID=38691
Vows to outlaw abortions by executive order declaring all unborn 'people', and magically using the fifth amendment as follows:
"U.S. Attorneys could be appointed who understood that the unborn child is a person under the Fifth Amendment and shall not be deprived of life, liberty or property without due process," he said. "So I believe that it is doable on Day 1."
Unfortunately the fifth amendment doesn't limit the powers of private citizens, it limits the powers of government. So in essence, the candidate from the party that supposedly respects the constituion the most would completely twist it and shred it to accomplish his goals.