Surely conversion is a matter between man and his Maker who alone knows his creatures' hearts. A conversion without a clean heart is, in my opinion, a denial of God and Religion. Conversion without cleanliness of heart can only be a matter of sorrow, not joy, to a godly person.
The wind of God's grace is incessantly blowing. Lazy sailors on the sea of life do not take advantage of it. But the active and strong always keep the sails of their minds unfurled to catch the favorable winds and thus reach their destination very soon.