I am also right handed and have never even considered putting the phone in my right pocket lol! I've been carrying my keys in my right pocket since I was old enough to have keys so I don't see that changing any time soon!
I'll join the right handed person keeping the phone in my left pocket, in fact I left hand my phone, though if I need to it's easier to use my right hand when I need it, current phones are just not well designed for one-handed use.