That is going far too far. As a rule, it is unbiblical.
“Righteousness exalteth a nation: but sin is a reproach to any people.”—Proverbs 14:34
God spoke to nations through the prophets of old. God even chose men and women from among his own people for special government service in some foreign nations, not just Israel and Judah. There is no biblical indication that God has ceased his interest in earthly kingdoms, or that his people should no longer have even important functions within those governments.
The closest we come to finding any such indication involves those who hold special church office, for example, Paul’s note to the evangelist Timothy.
Furthermore, all indications are that converts would retain their government posts.
Tax collector—Zaccheus (Luke 19:1-10).
Centurion—Cornelius (Acts 10).
Proconsul—Sergius Paulus (Acts 13:6-12).
Royal treasurer—Ethiopian eunuch (Acts 8:26ff).
Prison overseer—Philippian jailer (Acts 16:16ff).
Tax collectors and soldiers—pentitent inquirers of John the Baptist (Luke 3:7-14).
Note that the latter is even in the context of producing good fruit in keeping with repentance.
There is no biblical support for forbidding Christian involvement in government service to whatever degree is available. That later Christians fell into such a practice does not legitimize it. Infant baptism has more support.
This is not to say that one cannot imagine exceptions, for example, where the state requires a believer to swear allegiance to it above God.
“Righteousness exalteth a nation: but sin is a reproach to any people.”—Proverbs 14:34