I recommend that you ask a gay Muslim why your opinion about Islam is so wrong.
You could of course just Google what gay Muslims and gay Imams say.
Though I happened to mentioned something about this weird phenomenon of atheists and christians claiming to know more about Islam than Muslims do to a good friend who is both Muslim and gay. To summarise the answer, the Quran says God is merciful and God is compassionate a huge number of times, I think he said 150 or something. He said that overrides anything else and that there is nothing that clearly condemns homosexuality anyway.
And PS, I notice you've fallen for your own propaganda about the two 15 year old "gay" men supposedly hanged in Iran for being gay. They were actually convicted or raping a 10 year old boy and it was never established that they were gay.
Also, giving the example of ISIS (an organisation who's highly heterodox interpretations of that Quran were condemned by nearly every Islamic scholar and leader in the world and is responsible for the deaths of hundreds of thousands of Muslims), executing gay MUSLIMS, doesn't really help your argument does it.