Absolutely NOT!! How would that even work or be fair with the current system? You got most people entering a BG que solo, matched up with strangers and play super disorganized fighting against a 4 man premade. Also there is a HUGE diversity of players entering 1 que. You have people who are new to the game going up against veterans who have mastered their class and have gold and kuta everything. So no, until ZOS puts more effort into BGs i think a ranking system would be completely pointless.
What would work however is a system similar to Guild Wars 2, where you get a PvP BG rank based on games played only. Would not be a leaderboard. This would have to be seperate from the Alliance rank for obvious reasons *cough* zerging *cough* They make que system for solo ques only and group them into a 4 man, and a que system for pre made groups and it would be far more fair.
Very few games get a rank/mmr system correct, which leads to people matching up against players they’re worlds ahead of as if they’re smurfing.