No doubt, Islam being the only remaining intact message from Allah, will overcome all other religions.
This fact is mentioned in Quran in many verses like
1. Sura Al-Tawbah, verse 33:
33. It is He Who has sent His Messenger (Muhammad with guidance and the religion of Truth (Islâm), to make it superior over all religions even though the polytheists, pagans, idolaters, disbelievers in the Oneness of Allâh) hate (it).
[Al-Tawba, Aya: 33]
2. Sura Al- Fath, verse 28.
28. He it is Who has sent His Messenger (Muhammad صلى الله عليه وسلم) with guidance and the religion of truth (Islâm), that He may make it (Islâm) superior to all religions. And All-Sufficient is Allâh as a Witness.
[Al-Fath, Aya: 28]
and Sura Al-SAFF, verse 9.
In today's World, the figures published by the United Nations and other specialized organizations state that Islam is the fastest growing religion in the whole world. This is a sign of increasing success of Islam. Real Islam of Ahlul Bayt (AS) is progressing more than other sects as you can find the increasing numbers of scholars who have admitted and accepted the fact that the real Islam is the Islam of Ahlul Bayt (AS). Hundreds of books have been written by scholars who left their previous sects and embraced the Shia Islam after discovering the facts through research which revealed authentic evidence. (www.aqaed.com has has hundreds of such books and articles) .