I'm still not sure I understand the question ... but maybe you are saying that each State in the US must have free government, republican government, where the people are sovereign ... and you are asking how the State Constitutions declare this truth?
Since the US Constitution guarantees each State a republican form of government, I do not think a State would be allowed in the Union if its Constitution said that the State Government was sovereign over the people.
I have not read every State Constitution, but I have read the original State Constitutions:
Virginia - SEC. 2. That all power is vested in, and consequently derived from, the people; that magistrates are their trustees and servants, and at all times amenable to them.
Vermont - V. That all power being originally inherent in, and consequently, derived from, the people; therefore, all officers of government, whether legislative or executive, are their trustees and servants. and at all times accountable to them.
Pennsylvania - IV. That all power being originally inherent in, and consequently derived from, the people; therefore all officers of government, whether legislative or executive, are their trustees and servants, and at all times accountable to them.
North Carolina - I. That all political power is vested in and derived from the people only.
Maryland - I. That all government of right originates from the people, is founded in compact only, and instituted solely for the good of the whole ... IV. That all persons invested with the legislative or executive powers of government are the trustees of the public, and, as such, accountable for their conduct; wherefore, whenever the ends of government are perverted, and public liberty manifestly endangered, and all other means of redress are ineffectual, the people may, and of right ought, to reform the old or establish a new government. The doctrine of non-resistance, against arbitrary power and oppression, is absurd, slavish, and destructive of the good and happiness of mankind