So, you believe that people get zapped with the Holy Spirit right out of a clear blue sky.
Yes, that's pretty much how Jesus put it in Jn 3:7-8:
"Do not marvel that I said to you, ‘You must be born again.’ The wind blows where it wishes and you hear the sound of it, but do not know where it comes from and where it is going; so is everyone who is born of the Spirit."
Try this.
"So then faith comes by hearing and hearing by the word of God" Romans 10:17. Which is the Gospel.
The sovereign grace and Arminian difference lies in the word "hearing". The former recognizes that
the act of being made to hear describes movement on the part of God. Some of the more libertarian Arminians (I'm guessing you may be coming from here?) interpret the same term as intellectual
movement from an innate more of less fully functioning moral ability within each person.
Some Arminians grant Jn 1:9 to describe antecedent movement by God to create that ability in all. Calvinist and prevenient grace Arminians are similar aside from the obvious elect/non-elect distinction of our Calvinist brethren.
I'm closer to the Arminian prevenient grace position, but with stronger emphasis on the necessity of God's movement to illuminate (regenerate; create moral ability). However, I don't believe we choose freely or make prescriptive judgements or decisions more or less evenly between good and evil as most do. Instead, I think we're spiritually born
progressively and incrementally to lesser or greater ability to choose the true and good. In other words, we're agents who only have more or less ability to think/choose/act with respect to or measured against absolute good.