If by constitutional you mean following the constitution word for word, then no.
There is no current party that even does that, not even the "Constitution Party".
However, section three is interesting. Does that mean that a boy like Rahm Emanuel, the son of a terrorist and a boy who fought for another country (not the US), can't be part of Obummers or Clinton's "administration" legally? I need to read and study more. Thank you for making me reread this. The Constitution is like the Bible, you CAN'T read it too many times to learn something new.