Most of the monarchs (kings of Israel) were wicked and did the opposite of what God wanted.
Throughout history and around the world, there have been plenty of wicked kings.
It would be misguided to assume that monarchies are God approved just because that was a form of government in the Old & New Testament. God certainly was not pleased with the wicked kings of Israel.
When the wicked rule, the people groan. Proverbs 29:2B
Like a roaring lion or a charging bear is a wicked ruler over a helpless people. Proverbs 28:15
Most of the monarchs (kings of Israel) were wicked and did the opposite of what God wanted.
Throughout history and around the world, there have been plenty of wicked kings.
It would be misguided to assume that monarchies are God approved just because that was a form of government in the Old & New Testament. God certainly was not pleased with the wicked kings of Israel.
When the wicked rule, the people groan. Proverbs 29:2B
Like a roaring lion or a charging bear is a wicked ruler over a helpless people. Proverbs 28:15
With your verses above I will add.
Romans 13 New International Version (NIV)
13 Let everyone be subject to the governing authorities, for there is no authority except that which God has established. The authorities that exist have been established by God. 2 Consequently, whoever rebels against the authority is rebelling against what God has instituted, and those who do so will bring judgment on themselves. 3
For rulers hold no terror for those who do right, but for those who do wrong. Do you want to be free from fear of the one in authority? Then do what is right and you will be commended. 4 For the one in authority is God’s servant for your good. But if you do wrong, be afraid, for rulers do not bear the sword for no reason. They are God’s servants, agents of wrath to bring punishment on the wrongdoer. 5 Therefore, it is necessary to submit to the authorities, not only because of possible punishment but also as a matter of conscience.
6 This is also why you pay taxes, for the authorities are God’s servants, who give their full time to governing. 7 Give to everyone what you owe them: If you owe taxes, pay taxes; if revenue, then revenue; if respect, then respect; if honor, then honor.
God's design is supposed to be a terror to evil not the good.
Technically if I had to say which design of Government God recommended, it would be a type of Constitutional Republic with strong defense for the Biblical worldview as in many ways was how Moses governed. The 10 commandments and Mosaic law being like a constitution. And how Moses set up a system divided with balances so that he himself wouldn't be overwhelmed. And in everything God was at the core.
Only a few monarchs was successful in being righteous. King David, King Solomon for most of His life, and a handful of Kings throughout Israel's lineage did right in God's eyes.
But the number who did wrong far surpasses those who did right. As to why God first wanted His people to be ruled by the people, for the people.