More water doesn’t mean more drinking water, nor will the changes in humidity be the same across the globe.
Deserts are growing and lakes are drying up these changes can create violent reactions and we are seeing more of them.
Violent reactions usually come from misuse of land or appropriation of land, not climate changes. As for deserts growing, no. The Sahara is shrinking and rains have flooded deserts in China. Some lakes are shrinking due to overuse, some due to changes in climate. Others are growing in Siberia and Canada. Climate change is mostly good, see Global Warming is good for you (unless you are an American)
Wars do not start by lack of water, but by politics. Sorry to burst your bubble.