These ideas, I think, are incorrect. The issue of sovereignty is a logical question. And damnation, while giving God glory, does so less than salvation.
I don't think it possible for God to force anyone into heaven. Or rather force anyone to love him; heaven is the destination. So I think the Calvinists are incorrect about sovereignty over who is saved because it is not an question of sovereignty.
God can create, God can woo (prevenient grace), God can save, God can give eternal life, God can create freedom of the will.
None of which man can do.
However I think that if God creates us as beings that have the ability to choose or reject God then I think it logically impossible to force love from such a being.
To have such a high view of sovereignty that claims that God can make us love him, seems, to me, as preposterous as a high view of God's omnipotence means he can make 2 + 2 = 5.
So I don't think that non-Calvinists have a low view of God's sovereignty, I think they have a more accurate one.
Further I think God does desire every single person go to heaven. I don't think any have been created specifically for destruction. Neither are we created for redemption; rather for fellowship. Because of Adam's choice we become estranged. God's grace gives us a possible path back. Those who continually reject God's drawing are handed over to destruction. They become unredeemable* objects of wrath whom God prepares for destruction based on our rejection of him.
It is theoretically possible that every person could choose God.
God does seek his own glory, but the Calvinists are incorrect about this being the reason for creating beings for damnation. Why? Because if we choose obedience and become objects of mercy, God gains even more glory.
God is glorified when he destroys the wicked.
God is glorified more when he shows mercy to the repentant wicked.
What of Romans 9?
What if God, desiring to show his wrath and to make known his power, has endured with much patience vessels of wrath prepared for destruction, in order to make known the riches of his glory for vessels of mercy, which he has prepared beforehand for glory—even us whom he has called,...It is not that God creates beings solely so they can be destroyed and they have no choice to escape that destination. Rather they have insisted on wickedness, they have rejected God's offer of mercy, therefore they are prepared for destruction. Given they are not redeemable, God uses them to maximise his glory in the view of the vessels of God's mercy. God uses a bad situation for good.
If Calvinism was correct about God's sovereignty then he would maximise his glory by saving everyone. That would bring him more glory than damning some.
*We are children of wrath because we are fallen (Ephesians 2:3). If we reject God to the point we are not redeemable then we are vessels of wrath prepared for destruction (Romans 9:22).