Calvinism and Arminianism
First, let's acknowledge that there is a danger in being in deep water. One risk is that we become overly rigid and exclusionary. This, it seems to me, is especially true about those who have just discovered these truths. The danger of becoming too exclusionary is present in part because some of these truths are exclusionary. Christians are the only theists who believe in the Trinity. It has been a dividing line between us and Jews and Muslims for centuries. Therefore it is not always easy to know what truths are worth dividing over. The other risk, which seems common in our day, is that the depth of the water makes us despair of being able to know anything.
But I believe that deeper studies, especially if done prayerfully and always with a dependence on the Scriptures, are corrective to each of these risks. Why? Because we will come, with Paul, to understand that we cannot fully grasp who God is or what He has done. We are left with only doxology about how great God is. I am finite and fallen, so I can never comprehend the infinite, holy God fully. But through these studies we will also see that God has revealed Himself, so there are truths about God that we can know and understand.
Second, let us realize we are not called to a war to eradicate Arminianism. Do I think election is important? Definitely. Do I think the Reformed understanding of election as outlined by Luther, Calvin, and the men who follow in their footsteps is the correct understanding? Definitely. Do I think Arminians are lesser Christians? Definitely not. Charles Spurgeon, a far more capable proponent of election than I, noted that two men he held in highest esteem were George Whitefield, a Calvinist, and John Wesley, an Arminian.
Most atrocious things have been spoken about the character and spiritual condition of John Wesley, the modern prince of Arminians. I can only say concerning him that, while I detest many of the doctrines which he preached, yet for the man himself I have a reverence second to no Wesleyan; and if there were wanted two apostles to be added to the number of the twelve, I do not believe that there could be found two men more fit to be so added than George Whitefield and John Wesley. C. H. Spurgeon "A Defense of Calvinism" (middle of 3rd paragraph from the bottom)
For a similar perspective on this topic, I would commend to you a post by Mark Dever on the Together for the Gospel blog. In part he writes (emphasis his):
The real front line is not between Calvinist evangelicals and Arminian evangelicals. It is between those who are lost in their sins and those who have been saved by God's sheer grace in Christ.
Third, this doesn't mean we don't discuss, debate, and contend for our beliefs. But it is the kind of contention that allowed George Whitefield to rebuke John Wesley for Wesley's Arminianism, but then say that he did not expect to see Wesley in heaven because Wesley would be so much closer to the throne of God than Whitefield that Whitefield would not be able to see him.
Election is neither an essential doctrine, like justification by faith alone, nor is it a personal conviction issue, like whether Christians are allowed to partake of alcohol in moderation. Election and other doctrines which fall into this middle ground are doctrines which should be discussed. Therefore, the (admittedly difficult) task is to contend for our understanding of truth with a humble, irenic spirit.