Un-Googled Android Experience With CyanogenMod + Amazon App Store?

I was going to buy the new Amazon Fire store as I completely live within the Amazon ecosystem; I've purchased apps there, I'm mainly a reader and audiobook listener. However, with my new AT&T Next plan, I'm getting pretty screwed. I do not have a Google Account and do not want to create one and do not want to live in the Google ecosystem. Yet, the Nexus 5 at $350 is very appealing. I was wondering what issues I might face if I bought the Nexus 5, installed the latest CyanogenMod snapshot, and used the Amazon App store on that phone. Never installing Google Apps. Does CyanogenMod out of the box provide a complete "deGoogled" Android phone?