Since you asked for the common understanding of this, I'm going to turn to several well-known Bible commentaries, all conveniently located [here, associated with the verse in question, an BibleHub.com][1].

Some seem to think that it is prophetical, and fulfilled in the destruction of Jerusalem, and the slaying of the Jews, who rejected Christ.

Pulpit Commentary

Verse 27. - But those mine enemies, which would not that I should reign over them, bring hither, and slay them before me. An obvious reference to the Lord's dealings with the chosen people, and an unmistakable reference to the awful ruin and disaster which was so soon to overwhelm the city and temple and the whole nationality.

Gill's Exposition of the Entire Bible

But those mine enemies,.... Meaning particularly the Jews, who were enemies to the person of Christ, and hated and rejected him, as the King Messiah; and rebelled against him, and would not submit to his government; and were enemies to his people, and were exceeding mad against them, and persecuted them; and to his Gospel, and the distinguishing truths of it, and to his ordinances, which they rejected against themselves:

which would not that I should reign over them; see Luke 19:14

bring hither, and slay them before me; which had its accomplishment in the destruction of Jerusalem, when multitudes of them were slain with the sword, both with their own, and with their enemies;

Clarke's Commentary on the Bible

Those - enemies - bring hither - the Jews, whom I shall shortly slay by the sword of the Romans.

Others seem to believe that it refers to the ultimate fate of all who reject Christ.

People's New Testament

19:27 Those my enemies. This portrays the fate, not of church members, but of those who would not have the Lord reign over them. It embraces all the impenitent. Compare Mt 13:49 21:44 25:30:00 2Th 1:8-10.

Jamieson-Fausset-Brown Bible Commentary

27. bring hither, &c.—(Compare 1Sa 15:32, 33). Referring to the awful destruction of Jerusalem, but pointing to the final destruction of all that are found in open rebellion against Christ.

Either understanding seems to be common, just with different groups and commentators. [1]: http://biblehub.com/commentaries/luke/19-27.htm

Since you asked for an "orthodox" (small "o") understanding of this, I'm going to turn to several well-known Bible commentaries, all conveniently located [here, associated with the verse in question, an BibleHub.com][1].

Some seem to think that it is prophetical, and fulfilled in the destruction of Jerusalem, and the slaying of the Jews, who rejected Christ.

Pulpit Commentary

Verse 27. - But those mine enemies, which would not that I should reign over them, bring hither, and slay them before me. An obvious reference to the Lord's dealings with the chosen people, and an unmistakable reference to the awful ruin and disaster which was so soon to overwhelm the city and temple and the whole nationality.

Gill's Exposition of the Entire Bible

But those mine enemies,.... Meaning particularly the Jews, who were enemies to the person of Christ, and hated and rejected him, as the King Messiah; and rebelled against him, and would not submit to his government; and were enemies to his people, and were exceeding mad against them, and persecuted them; and to his Gospel, and the distinguishing truths of it, and to his ordinances, which they rejected against themselves:

which would not that I should reign over them; see Luke 19:14

bring hither, and slay them before me; which had its accomplishment in the destruction of Jerusalem, when multitudes of them were slain with the sword, both with their own, and with their enemies;

Clarke's Commentary on the Bible

Those - enemies - bring hither - the Jews, whom I shall shortly slay by the sword of the Romans.

Others seem to believe that it refers to the ultimate fate of all who reject Christ.

People's New Testament

19:27 Those my enemies. This portrays the fate, not of church members, but of those who would not have the Lord reign over them. It embraces all the impenitent. Compare Mt 13:49 21:44 25:30:00 2Th 1:8-10.

Jamieson-Fausset-Brown Bible Commentary

27. bring hither, &c.—(Compare 1Sa 15:32, 33). Referring to the awful destruction of Jerusalem, but pointing to the final destruction of all that are found in open rebellion against Christ.

Either understanding seems to be common, just with different groups and commentators. [1]: http://biblehub.com/commentaries/luke/19-27.htm