Though I am not an Arminian, I am closer to that theology, so I accept that label. I reject that a christian can lose/forfeit their salvation, and I believe that faith is a gift of God(which Arminianism rejects, if I am thinking correctly).
I have no problem with labels, but I do have a problem with how others manipulate them.
I also am not Arminian, because I also do not believe you can lose your salvation. But unlike Willis, I do not believe faith is a gift. I believe all men are born with the ability to express faith.
That said, I do not believe any man could possibly believe on Jesus unless God had graciously revealed him to us. And I believe Paul himself expressed this in scripture.
Rom 10:14 How then shall they call on him in whom they have not believed?
and how shall they believe in him of whom they have not heard? and how shall they hear without a preacher?
Notice Paul asked three questions here all involving ABILITY, he starts each question with the word HOW.
First, he asks
how can anyone call on Jesus unless they have believed on him. No man will call on Jesus unless he believes he is the Lord. If a person simply thinks Jesus was an ordinary man, he is not going to pray to Jesus.
Second, Paul asks
how anyone can
believe on Jesus unless they have heard of him. No supernatural regeneration mentioned here whatsoever, just the logical question of how can a person believe on someone they have never heard of?
Third, Paul asks
how shall they hear without a preacher. Again, no mention of a person needing to be regenerated to have the ability to hear, but the logical question of how shall they hear unless someone goes and preaches the gospel to them?
Now, if ever there was a time to tell folks that regeneration is necessary for a person to hear and believe the gospel, this passage is where Paul should have told us. But Paul does not mention one word about the necessity of being regenerated to have the ability to hear and believe here, or anywhere else in all of scripture. It is incredible to believe that Paul would forget to mention such an important doctrine if it were true, but that is exactly what happened, Paul did not mention the need for regeneration to hear or believe.
No, Paul said they simply need a preacher to come and preach Jesus Christ to them, and then they can believe.
But back to the OP, I do not agree with Arminianism, and so I do not like to be labelled as such. I agree with Willis, in my view it is closer to the truth, but not completely accurate in my view. And I do not agree with Willis perfectly, I do not think faith is a gift.
Now, I would say faith is a gift in the respect that we could not believe unless God had revealed Jesus to us through the scriptures. The Word of God is absolutely a gift from God. But I do not believe a person must be regenerated to believe the Word of God. I do not believe any person can be regenerated until AFTER they believe, because until you believe you are DEAD IN SIN. No person can be spiritually alive while they are still in their sins, and no man can be forgiven their sins until they believe on Jesus.