JesusFan. Great to hear from you. Hope you had a blessed weekend.
Think though that if one holds to doctrines of Grace in Soteriology, forced to conclude that the intent of the Cross was indeed a limited atonement. as Really purchased salvation to those intended to get saved, and not a potential for all to get saved
I have a couple of thoughts on how the Calvinist might reconcile the two groupings of scripture, that is those that suggest a Universal Atonement and a Particular Election. One is the distinction between the terms
"mercy" and "grace".
(1) Mercy is the cancelling of something that is deserved.
(2) Grace is the implementing of something that is not deserved.
Mercy is the term one can associate with the Universal nature of Christ's Incarnation, blood, death and resurrection. Mercy is one step in the stratagem of God to put all things under His foot (1Cor 15:24-28, Heb 2:8, 1John 3:8, Phil 2:10, 1Pet 3:22).
To properly say, logically, that God does what is His good pleasure. Then what is said as being God's good pleasure must be logically consistent with God's nature and internally consistent with His nature (meaning it doesn't create what I call divine dissonance.). In other words, we can't have a theology that implies divine dissonance (because that theology would then be wrong in some way based on the Bible). That is the whole problem with the Supralapsarian model.
Mercy is the wish of God that none should perish (2Pet 3:9); Mercy is the goodness of God toward the suffering; Mercy is the sufficient for all (1Tim 2:6, 2Cor 5:14-16. 1Pet 3:18, John 1:29, 1John 2:2).
Mercy is derived from the Law, for the Law is the ground for justice and mercy (Mat 23:23). For there can be no ground for mercy that does not create divine dissonance, if not grounded in the Law. Mercy cannot be mercy if not for justice, and justice cannot be justice if not grounded in the eternally consistent and universal Law of God. Mercy springs forth from justice, it is part of justice and justice a part of it; for both are a reflection of the Law and ultimately of the attributes of the divine nature of God.
So to cut this short. For the Calvinist, the stratagem of God to have mercy on all mankind by conquering the power of sin and death and thereby canceling the law of sin over mankind and leaving the law of faith alone (thereby leaving none with any excuse). Is where the work on the cross actually does something for the unbelieving.
keep seeking God's truth.