By the way, Romans 2:4 is regarding God convicting our hearts daily and we then turn from sin. Not God making us repent and believe in the beginning. God convicts our heart with his word. And those who hear his word can either believe and be a doer of the word, and follow Jesus, or not.
You could do with reading some more of that chapter. Here is a bit of it.
Romans 2
To them who by patient continuance in well doing seek for glory and honour and immortality, eternal life: But unto them that are contentious, and do not obey the truth, but obey unrighteousness, indignation and wrath, Tribulation and anguish, upon every soul of man that doeth evil, of the Jew first, and also of the Gentile; But glory, honour, and peace, to every man that worketh good, to the Jew first, and also to the Gentile: For there is no respect of persons with God.
We can either live by the will of God or not, and God will judge those that have heard the truth.