Don't you?
"The United States shall guarantee to every State in this Union a Republican Form of Government,
1. The act of invading; the act of encroaching upon the rights or possessions of another; encroachment; trespass.
The Constitution uses "invasion" to mean invasion by foreign armies, not Russian caviar or anything else.
Immigration itself was considered a State function at the time that Amendment was adopted. Not until later did an Activist Supreme Court rule the the Federal government had immigration authority.
You don't support the Constituition as "originally intended", you support your own private distortion of the Constitution. It was thinking like yours that resulted in Roe v. Wade.
By the way, which third party are you supporting now, The Constitution Party?