Did you even read the text you quoted?
God graciously enables every sinner to repent and believe. That is, left to their own nature, they aren't able to do so.
Classical and Wesleyan Arminianism teaches that God gives people a prevenient grace that doesn't save them, but does allow them to exercise their will in order to accept the faith.
The same distinction can be found in Catholicism.
Sorry, the clip was truncated. Here is the full text in all it's glory:
Quote
THE “FIVE POINTS” OF
ARMINIANISM
Free Will or Human Ability
Although human nature was seriously affected by the fall, man has not been left in a state of total spiritual helplessness. God graciously enables every sinner to repent and believe, but He does not interfere with man’s freedom. Each sinner possesses a free will, and his eternal destiny depends on how he uses it. Man’s freedom consists of his ability to choose good over evil in spiritual matters; his will is not enslaved to his sinful nature. The sinner has the power to either cooperate with God’s Spirit and be regenerated or resist God’s grace and perish. The lost sinner needs the Spirit’s assistance, but he does not have to be regenerated by the Spirit before he can believe, for faith is man’s act and precedes the new birth. Faith is the sinner’s gift to God; it is man’s contribution to salvation.
============================
In Calvinism, grace, the regeneration of dead spirits through the work of the Holy Spirit is irresistible. Not so in Arminianism, as you noted.
The point is that I believe we have misread Scripture. People followed Christ because of the signs and wonders. When they found out what the agreement entailed, laying down life, they bailed, like the Israelites and the rich young ruler, unlike Caleb, and Peter:
Mark 10: 28Peter began to say to Him, “Behold, we have left everything and followed You.” 29Jesus said, “Truly I say to you, there is no one who has left house or brothers or sisters or mother or father or children or farms, for My sake and for the gospel’s sake, 30but that he will receive a hundred times as much now in the present age, houses and brothers and sisters and mothers and children and farms, along with persecutions; and in the age to come, eternal life. 31“But many who are first will be last, and the last, first.”