Arguments Against Calvinism

I exhort therefore, that, first of all, supplications, prayers, intercessions, and giving of thanks, be made for all men; ... [God our Saviour] Who will have all men to be saved, and to come unto the knowledge of the truth. For there is one God, and one mediator between God and men, the man Christ Jesus; Who gave himself a ransom for all, to be testified in due time. - 1 Tim 2:1-6

Calvinism claims that God's pleasure is that the wicked are damned. This is directly contradicted by Ezekiel 33:11:

Say unto them, As I live, saith the Lord God, I have no pleasure in the death of the wicked; but that the wicked turn from his way and live: turn ye, turn ye from your evil ways; for why will ye die, O house of Israel?

The precise goal of God was to make salvation available for all, not to force atonement / salvation on all. So in this case, Jesus did not fail, even if some reject the offer of salvation.

God's plan itself was to allow man the freedom to reject the offer.

But to Israel he says: “All day long I have stretched out My hands To a disobedient and contrary people.” - Rom 10:21

The attitude of God in this scripture is that God makes a genuine offer to people, who reject God. If even a single one of those people fail to eventually get saved, then this genuine offer was made to more than just the "elect." 

If this one person does not get saved, but the offer was made to him, then this person could have gotten saved - otherwise the offer was not genuine.

God shows his nature, goodness, and love by virtue of unlimited atonement.

Paul heard the gospel when Stephen was stoned. Paul was one of the elect, per Calvinism - even wrote the Calvinist proof text used for predestination of some sinners to salvation in Eph 1, and wrote Rom 9. Yet Paul did not get saved when he heard the gospel. This contradicts the claim, and invalidates and disproves the claim. (The method is proof by contradiction.)

Trying to please God and failing, thinking it is difficult or well-nigh impossible (contrary to the words of Jesus that his yoke is easy) to serve God or please Him, people find it welcome and a relief to think that this is taken care of by God himself. They cannot fail to accomplish God's will in their lives, for God himself is going to make sure (or already has made sure) that His will is going to be accomplished in their own life, regardless of whether they try or not, and that nothing they do, or even can do, will thwart this realization of God's purpose.

A Professor teaching an Old Testament class claims students in the Old Testament class have preconceived notions of God that are at variance with what the Old Testament says about God, and that they got those ideas from western philosophy, rather than from the Bible. See https://www.youtube.com/watch?v=RkFJvEtI1WI

Augustine

The research of Augustinian expert, Kenneth Wilson (MD, MDiv, ThM, PhD), 1 one of the top scholars in the world on Augustine, shows that before Augustine (for the first few centuries of the church), Christian teachers taught free will, and none taught determinism. It also shows Augustine to have been ...

Teachings from a Neo-platonic philosopher, apparently influenced by a spirit guide, influenced Augustine who influenced Calvin & modern theology. Thus, teachings and doctrines of devils may have ultimately influenced ideas of Calvin and modern theology (including Calvinism).

The trace-back is 

modern theology - Calvin / Augustine - Neoplatonism - Plotinus - devil?

Historically, Calvin claimed he could have written most of his teachings by quoting Augustine. 

One person cried for several hours upon realizing what Calvinism implied and believing Calvinism to be true.

Rom 5:18 uses all to refer to all men being condemned. It also uses all to refer to the free gift coming upon all men to justification.

18 Therefore, as through one man’s offense judgment came to all men, resulting in condemnation, even so through one Man’s righteous act the free gift came to all men, resulting in justification of life.

Perseverance of the saints is dependent on the choices of the saints.

Man has a choice to receive God, and that is one condition on which salvation depends. To as many as received Jesus, to those he gave power to become the sons of God. John 1:12

Election in the Bible never refers to salvation.

Believers, not sinners, were predestined to their (believers') future inheritance. 1

The word predestine/predestined/predestinated... appears 4 times in the Bible (KJV), in the verses below (this is not counting occurrences of the terms elected, chosen, etc.):

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