The short answer is NO it does not deserve an apology it deserves much much more sever punishment which this person will receive from Allah and vengeance is His alone but not for us to take. The long answer and the reason to my saying this is as follows below.
As a Muslim and a reader of the Qur'an, the Torah and the Bible I can tell you it is a sin for a Muslim to burn the Qur'an. The Qur'an tells us in several verses that we should read the Bible and the Torah because they are Gods words, along with the Qur'an.
The Family of `Imran (Ali `Imran) 3:48, 2-3 AH.
The Angel Gabriel is speaking to Mary about Jesus before Jesus' birth and says: "And he (God) will teach him the book and wisdom and the Torah and the Gospel"
"Then will God say, `O Jesus son of Mary! Recount my favor to you and to your mother when I strengthened you with the Holy Spirit, so that you spoke to the people in childhood and in maturity. Behold! I taught you the Book and Wisdom, the Torah and the Gospel...
Jonah (Yunus) 10:37, Late Meccan.
"This Qur'an is not such as can be produced by other than God; but it is a verification of that (the Torah and Gospel) which IS between his (its) hands, and the explanation of the book, wherein there IS no doubt, from the Lord of the worlds."
The Cattle (Al-An`am) 6:154-157, Late Meccan.
"Then We gave Moses the Book complete as to whatever is excellent, and explaining all things in detail, and a guide and a mercy, that they might believe in the meeting with their Lord. And this (the Qur'an) is a Book which We have revealed, blessed: so follow it and be righteous, that you may receive mercy: lest you should say, `The Book was sent down to two peoples before us, and for our part, we remained unacquainted with all that they learned by assiduous study;' or lest you should say: `If the Book (Torah and Gospel) had only been sent down to us, we should have followed its guidance better than they.'"
I can go on and on and on with more examples of such. Any Muslim who burns the Bible and or the Torah is wrong and could hardly be considered a Muslim as they do not follow the Teachings of Islam by acting in this manner. Much the same way people who pervert the Christian Faith are not considered Christian by Mainstream Christians we Muslims feel the same about those who do this to Islam.