Final answer:
Metternich's goal in restoring traditional monarchs was to stabilize Europe by reinforcing conservative regimes and upholding the balance of power. This was achieved through the Congress of Vienna, where monarchs were reinstated to rein in democratic principles and maintain peace by aligning with old orders.
Step-by-step explanation:
The primary goal of Klemens von Metternich in working to reinstate monarchies across Europe was to restore the balance of power and prevent future revolutions. Through the Congress of Vienna, Metternich sought to return Europe to pre-Napoleonic times, reinforcing traditional monarchies and conservative political structures. A staunch opponent of revolutionary change, Metternich viewed the legitimacy of traditional monarchs as the bedrock for European stability, whereby loyalty to the crown and adherence to the old order were paramount for maintaining peace and quelling democratic sentiments.
Metternich also envisioned that reinstating monarchs would reverse the spread of liberal ideologies and social upheavals instigated by the French Revolution. European rulers from the Quadruple Alliance—Austria, Prussia, Russia, and Great Britain—restored overthrown monarchs and established a framework for collective intervention against liberal movements that threatened their sovereignty. The strategy included restoring Austrian princes and princesses to Italian thrones and returning the Bourbon monarchy in France, thus buttressing the power of the old orders.