I just started looking at the Constitution Party platform since you recommended it awhile back. There are some good things in it, but there are also some concessions to statism that I think are dangerous despite the fact that I'm moving away from strict anarcho-capitalist libertarianism. They support regulation of "obscenity", which isn't really defined, they support some drug restrictions, and they are careful to show their respect for agents of our currently illegitimate state (veterans), as well as condemning attempts to cut their benefits despite the fact that they are paid out of our pockets and for participating in unjust wars for an unjust system.
The Constitution Party isn't all bad, and I might support some of their candidates, but I don't think there is any party I can support on principle (LP is pro-choice so not an option) I respect strict theonomy even though I'm not sure I agree with it yet. I don't think anybody believes what I'm starting to believe these days.