You might want to look at hot conflicts rather than religion.

countries were man either die at war or emigrate vs countries with high % of immigrant labor, but woman rather not go

Religion? I think it's more a geographical thing. The only country that doesn't share a border with an other member of its table is Maldives. These countries share far more than a religuon.

Age groups for Latvia men/women

Nah, it's largely driven by poverty and war and traditional gender roles. Men move abroad looking for work, leaving their wives back home to maintain the rest of the family. Men seek a temporary escape from poverty by abusing alcohol and drugs, or engaging in other high-risk activities. Men die fighting in the military.

islamism == sausage fest

These are cultural spheres and i suspect that's the driver. Both religion and male:female ratios are downstream of culture, so of course religion and gender ratios correlate.

Iran's 103 is especially telling - a gulf state, as muslim a nation as any of the other overwhelming male gulf states, but with thousands of years of persian cultural heritage seperating them from their predominantly arab neighbours.

Also interesting that every country in the extreme, is a country I would never choose to visit as a tourist.