In 2014 Christian population is 2.01 billion and Muslims are 2.08 billion.
http://www.religiouspopulation.com/World/
This is changing because the birthrate in Muslim households is greater than that in Christian households.
Pew religion survey finds in 2012 that 31.5% of the world is Christian, 23.2% is Muslim. 16.3% unaffiliated, 15% Hindu, 7.1% Buddhist, 5.9% folk, 1.2% other, 0.2% Jewish.