Whether Kurt meant it or not, the line, "Don’t expect me to cry for all the reasons, you had to die. Don’t ever ask your love of me" is very disdainful towards the Father.
Jesus said to His Father, "the blood of bulls and calves you have not desired, but You have prepared a body for Me. In burnt offerings and sin offerings You have taken no pleasure. Then I said, ‘Behold, I have come to do your will, O God.'" Hebrews 10:5-7
Jesus' sacrifice of Himself on the cross is what makes Him worthy to be worshiped as they cry out in Heaven, "Worthy is the Lamb who was slain to receive power and wealth and
wisdom and might and honor and glory and blessing!” Revelation 5:12
It seems to me if that Sunbeam song could posses a Christian message, it would be more like, "Oh God! in mercy please deliver me from such a heartless response to all the thousands of my wretched sins which nailed your Son to that awful cross! He offered Himself on the cross for me, and so will I offer myself to Him as a living sacrifice."