Just about every week people with all too many Human flaws put on explosive vests and blow up themselves and innocents, exuberant to do "the will of God".
So a very good question why someone becomes ready to face death, but hardly qualifies as evidence that Jesus rose from the dead.
In both cases "belief" is fundamental to their "courage" to carry out a bold plan/activity. The disciples of Jesus had the belief that Jesus arose from the dead contributing to their boldness to preach the "gospel" even though the powers of the time would attack them. Peter made it clear to the Pharisees that he was not afraid anymore of them and cites the reasons for his newfound boldness (when before he was behind closed doors with the other Apostles for fear of the Jews).
Acts 5:26-32
26Then went the captain with the officers, and brought them without violence: for they feared the people, lest they should have been stoned.
27And when they had brought them, they set
them before the council: and the high priest asked them,
28Saying, Did not we straitly command you that ye should not teach in this name? and, behold, ye have filled Jerusalem with your doctrine, and intend to bring this man's blood upon us.
29Then Peter and the
other apostles answered and said, We ought to obey God rather than men.
30The God of our fathers raised up Jesus, whom ye slew and hanged on a tree. 31Him hath God exalted with his right hand
to be a Prince and a Saviour, for to give repentance to Israel, and forgiveness of sins.
32And we are his witnesses of these things; and
so is also the Holy Ghost, whom God hath given to them that obey him.
The belief in the risen Christ followed up with the receiving of the promised gift -- holy spiriit, is what emboldened the Apostles to stand up to the powers of the time. They weren't called to
die for God. They were called to
live for Him. Dying, can sometimes be alot more easier than living.