Do Protestant Trinitarians believe that Christianity can be 'proved' without faith?

>Then said Jesus unto him, Except ye see signs and wonders, ye will not believe. 49 The nobleman saith unto him, Sir, come down ere my child die. 50 Jesus saith unto him, Go thy way; thy son liveth. And the man believed the word that Jesus had spoken unto him, and he went his way. [John 4:48-50 KJV] The nobleman, as recorded by John, expressed his need when Jesus said to him 'Except ye see signs and wonders, ye will not believe'. His importunity responded to the test, the trial, that Jesus makes upon the man. 'Go thy way ; thy son liveth.' And he believed. Without seeing anything, the man responded, out of importunity, and he believed the word that Jesus spoke. >... without faith it is impossible to please him: for he that cometh to God must believe that he is, and that he is a rewarder of them that diligently seek him. [Hebrews 11:6 KJV] The writer to the Hebrews makes it clear that one must first have faith before coming to God. And not only faith in his existence, his being, but faith in that God will respond, and God will reward one's seeking after him. Therefore the 'proof' of God's existence and the 'proof' of real Christianity (the having a relationship with God by the mediatorial work and ministry of his Son, Jesus Christ) is available to faith and to faith alone. And more so, for the gospels teach the necessity of repentance, a baptism of repentance without which none can come to Christ. A pentinence that precedes faith. What does Trinitarian Protestantism teach regarding the possibility of 'proving' anything about Christianity without repentance, first, and genuine faith ?