I think it's impossible to talk about "most secure" with out being more clear who you're trying to protect against.
Rogue apps, hackers, law enforcement and state actors are 4 different attack vectors that jump to mind that all have different mitigations.
We'd also have to talk about how usable you expect the phone to be afterwards; for example if to make it secure we have to disable wifi, mobile-data and apps, is there any point in having a smart phone in the first place?
I, personally, am much more comfortable using an iPhone than any other mobile phone. I have very little trust in Android phones, especially one that has > 0 apps from the Play store installed.
(I'd still be using a Blackberry if they had any decent offerings, however.)
Can we have a reasonable discussion without fanboy ism about what is the most secure phone right now?
(reply only if you have a security background)