You'll get used to fixed quicker than you imagine. The first couple of attempts to freewheel will jolt you into the rhythm quick sharp! Braking with legs takes a little longer as you'll need to develop the strength but once you have you'll appreciate never touching the brake lever.
You are right.
I will soon switch to fixed (bought two fixed cogs already) once I get used to the bike and learn how to brake with my legs aswell.
That being said, I never had a brake fail on me and I predominantly used the front one.