Except animal agriculture is not that simple.
There isn't enough arable farmland in the world to just let cattle and animals graze free range. They're not just eating grass.
Instead they are eating soy beans, corn, hay that is grown with huge inputs of fossil fuels and fertilizer - made worse by effectively converting that fossil fuel into atmospheric methane.
This results in animal products having the highest CO2 equivalent of any food, especially beef and dairy.
http://css.umich.edu/sites/default/files/Carbon_Footprint_Fa...
http://www.onegreenplanet.org/environment/how-fossil-fuels-a...
One calorie of animal produced requires at least 10 times the plant calorie input.
Some quotes from the above article:
"Feed production accounts for around 75 percent of fossil fuel use in livestock production, so this one is the big kahuna."
"An article from the Food Revolution Network, called on David Pimentel, a Cornell ecologist who specializes in agriculture and energy to break down the number of fossil fuels needed to produce the food that livestock consume. According to Pimentel, the process of growing the 35 million hectares of corn, 31.1 million hectares of soybeans allotted for livestock feed in the U.S. (these numbers do not include the soy harvested in South America that feed U.S. livestock), requires an enormous amount of fossil fuel energy in the form of agrochemicals."
“Growing the corn used to feed livestock takes vast quantities of chemical fertilizer, which in turn takes vast quantities of oil. Because of this dependence on petroleum,” Pimentel tells Food Revolution Network, “a typical steer will in effect consume 284 gallons of oil in his lifetime.”
"Worldwide, we currently use an average of 180 millions of tons of fertilizer to grow livestock feed and as the population grows and the demand for meat increases, it is projected we’ll need 230 million tons or 7.3 BILLIONS of gallons by 2050."