If you are so concerned about privacy and security, why use an iOS device at all? Note: I am not trolling. It is a serious question. I mean, probably no one would be using ChatSecure if it were not Free Software, rightly, because nobody could audit its source code, but then isn't it a security/privacy issue using it on top of a completely closed platform?
All smartphones on the market involve some level of closed source - whether that's the baseband, the graphics blob, the chipset, the ROM, the firmware, or the complete operating system. Any of these could theoretically intercept the voice from the microphone / speaker, encode it and ship it on some back channel to the Five Eyes.
At that point it's simply a matter of where you draw the line between paranoia (that the NSA are reading your thoughts and have compromised everything) / idealism (e.g. RMS) and ease of use.