Countries that have a muslim majority experience crime rates, far lower than western countries such as the US or UK.
I feel that you're leaving one very important factor out here, which is stability. Currently 13 (14 if you count nigeria, which is around 40% muslim) of the top 20 states on the Fragile states index are muslim-majority countries, as well as 12 of the 18 currently ongoing civil wars either being based in muslim-majority countries or on islamic groups operating in non muslim-majority nations.
Compared to this the US hasn't had a civil war in 151 years, the UK hasn't had one in 365 years, Germany hasn't had one for 97 years, and canada has never had one.