None whatsoever. Islam is a religion that is at war with itself, pitting Muslim against Muslim. It has to address its own internal cancers before it can turn any attention at all to the outside world, attempting to fix problems that it has no chance whatever at fixing.
"Plenty of ways," really? You came here to ask the very question those ways would answer. If you know those many ways, tell us about them!
If the main contributing factor is human nature (just wondering how my heathen pork eating ways are contributing to chronic disease, when I don't have any), then enlighten us in the many stunning ways in which Islam will fix them. You came here asking us to list the ways when you have the list already in hand? You're kind of a crap evangelist. Rather than baiting, you should try sharing.
Logically speaking, of course. If you're going to bring logic into this, you'll find pretty quickly that Islam, logically speaking, is a blight on humanity and should be abandoned.