You may look at Molinism as a way to reconcile some of the philosophical views and differences between Calvinism and Arminianism but but it doesn't really "seek" that as a goal. I would put it more like: ..."Specifically, it seeks to maintain a strong view of God's sovereignty over creation while at the same time preserving the belief that human beings have self-determined freedom, or libertarian free will."
As said above some think that the Bible teaches both and I believe it does but the way one defines divine Sovereignty and Libertarian free will and supports those conclusions is where the truth comes to light. Although not a classical Molinist I believe their theology is much more logical and biblical than Calvinism. BTW, about all I can do is shake my head and laugh at the claim Molinism is merely a philosophy ...but Calvinism is theology. LOL.
Calvinist seem to believe they have a philosophical monopoly on the type and definition of God's foreknowledge, even to the point they might deny it is merely their question begging philosophical construct in "Classical Theology" wherein they conclude that according to God's foreknowledge He must have had to predetermined all things as their basis to deny free will/human volition. They will say it is Bible and rely on a few proof-texts while avoiding each and every scriptural example of God's instruction to seek Him and the declarations of God's judgment being in truth as if it weren't a genuine plea or justice over volitional creatures. Then, Calvinist love to use philosophical constructs such as "compatibility" and use philosophical terms such as "permissive will" and/or rename human volition to support their views in an attempt to logically avoid theological fatalism. Of course, many Calvinists today are turning to Hard Determinism having realized the fallacious logic of compatibilism between human volition and determinism as all 5 points of Calvinism must logically hinge on strict determinism.
The Calvinists typically do not deny "free will" in the sense of one having the right to choose of all that the fallen will may choose.
What the Calvinist typically do deny is that such a fallen will cannot of its own innate ability choose that which is outside of the parameters of the fallen.
To those who do not turn from the light, who seek the light, who embrace the light, who long for the light is no indication that they have of their own innate ability to choose other then to respond to the light given, that light which is commonly given to all humankind.
To those who respond to the light and not turn from the light it is given by God that they may be His own.
Nothing in them attained the salvation. They merely did not turn from the light given.
Freedom of the will is bound by the nature of the fallen creature.
Does not the Scripture clearly state that salvation is NOT by the will of humans?