No one argues like that so the graphic is attacking the layman.
The Quran can be recognized as the word of God when we:
1.) Show that naturalism is false and therefore supernatural phenomena must necessarily exist
2.) Show that a creator exists through logical argumentation and analysis of scientific evidence
3.) Show that the creator must be a personal being
4.) Show that deism is false
^^I have shown all the above points to be true and you could easily research scholarly arguments to decide for yourself whether they are true.
At this point, an intervening God must exist. Now you deal with the question as to what scripture is most likely the word of God.
The polytheist scriptures cannot be the word of God because they speak of "gods" being created AFTER the creation of the universe. So even if these beings exist they are still under the control of Allah--the creator of the universe.
Now you are left with the monotheist scriptures which declare a single personal creator of the universe. At this point, you are left with very few choices.
At this point you tell whether the Quran is the word of God not by using circular reasoning. Rather the Quran:
1.) Has a hidden code--19--that is statistically significant and demonstrably shows that a man from the desert in the 7 century is unlikely to have known how to make such a powerful Quranic code
2.) The immense accuracy of the Quran (both historical and scientific)
and so on.
So all in all, no one argues like the graphic you posted.
