[Ali Imran]

In promoting Buddhism, a Buddhist can bring up similar stories aplenty. Or in Hinduism, you can find similar inspiring stories. 

While such anecdotes may strengthen your faith personally, it does not prove the religion is true. 

Scriptures
We must go back to the scriptures and we can, to a reasonable point, prove the reliability of the scriptures. So, how reliable are your scriptures? We have a stringent methodology for classifying our Hadith and we have classifications like authentic (sahih) or weak (daif) or fabricated (mawdu). 

Btw, our Hadith is similar to your Bible, meaning they are the works of men. There is no equivalent of the Quran in Christianity.