I am persuaded that speaking to you as if you had anything worthwhile to say would answer a fool according to his folly (in the "bad sense"; therefore I do it in the "good sense"). You think the unitarians are "the direct theological heir" of the Puritans. I can't add to that. You already look as ignorant as you possibly could to anyone who knows about Puritan theology.
Of course you cannot, as you are either ignorant of that fact or unwilling to admit it for other reasons, among them possibly embarassment of association. The succession to unitarianism is a simple one to follow though:
Puritan (early 17th century) --> Nonconformist (post 1662 Act of Uniformity) --> 19th Century Unitarian--> 20th Century Unitarian Universalist