Hamlet Vs Christ

Both are standing against the establishment.
Both are acting upon their father’s wishes.
Both are full of doubts about sacrificing themselves for the greater good.
Both have status and followers.
Both have tragically unrealized romantic stories.
Both complete their mission dying in the process.

These are the “facts”. Are they common threads of a tragic hero (a literary device) or something deeper? Feel free to speculate in the comments below.