Do you really expect to "get anywhere" with the non-Calvinist?
Most of us who are now Calvinist were previously Arminian. We were raised, converted, or taught under Arminian leadership and believed what we were taught. As we aged and matured, we gradually the lessons of others and began studying scripture and theology for ourselves, incuding the doctrines of salvation. We learned not to proof-text scripture, and we noticed how many of our preachers and teachers do it on a daily basis. In studying scripture, not only was sound exegesis learned, but we also learned it's not hard to learn. It opens up the word of God to illuminate His revelation in ways not possible with casual reading. We not only learned that Arminianism was not the only doctrine of salvation held in the Church, it was not the oldest, the, most historical, or the only view considered orthodox. We learned the debate between Calvin and Arminius preceded them and it had taken various forms for centuries and it was not specifically a Protestant concern. We learned the Arminian position can be obtained only reading scripture inferentially and only by starting with certain humanistic assumption. Much to our reluctance, perhaps even chagrin, we learned there are a plethora of texts in scripture that bluntly assign salvific causality to God and God alone prior to conversion. I am not sure anyone wants to be Calvinist in the beginning. It confronts our sensibilities and forces us to ask, "
Do I trust my own perceptions, or do I trust the plain reading of God's word?"
I came to understand, accept, and believe God's word and found the monergistic view was much more consistent with whole scripture because of the goodwill intentions of other Calvinists. So, yes, it is quite possible for a Calvinist to expect s/he will get somewhere with non-Cals. Most of wore your shoes and walked your path before accepting Calvinism.