"..there are more humans alive today fighting for the same resources"
If by "resources" you mean world GDP, then no, the GDP per person has never been higher:
http://www.wolframalpha.com/input/?i=world+gdp+%2F+world+pop...
If by "resources" you mean world GDP, then no, the GDP per person has never been higher:
http://www.wolframalpha.com/input/?i=world+gdp+%2F+world+pop...
Do you get it now - more people alive means more competition for land and other resources.