No matter how good one’s theological reasoning, without the sovereign unilateral intervention of the Holy Spirit, rationality is useless.
God, in his Sovereign decrees, predetermines not only the end but the means. The end I am talking about here is, of course, salvation. God uses an embarrassment of means, all of which must involve your noggin – facts, information, which the reformers (16th century) callled notitia. Some need oodles of noggin before they believe; for example, CS Lewis, while others like Augustine of Hippo believe in order to understand. God accommodates.
Allow me to appeal to a bit of the Arminians’ noggin to try to persuade them (they choose salvation) rather than God chooses to save them). If you insist that God only helps you to believe through “prevenient” grace, which is granted to all without exception, why then do you sing, often in full throat, “Amazing grace that saved a wretch like me?” Shouldn’t you rather be singing – there’s no way to avoid many more words:
Amazing (“prevenient”) grace that helped me help you save me?