My issues with removing Inconsistant.
1) To my knowledge, abilites such as Sand Veil and Snow Cloak, which serve specifically to boost evasion without the element of luck, aren't banned, or non-dreamworld Froslass would be useless. Thusly, this sort of thing has no precedent, and is based on biased conjecture.
First you need weather to set this up (this isnt an issue but it can change a team around if you purposely want this ability to come into effect) Second, Inconsistent provides 2 evasion boosts (if lucky) while Sand Veil/Snow Cloak only provide 1. If you have been in the battle tower, then you will realise the huge impact 2 evasion boosts can have
2) Luck clearly isn't a big issue in the metagame, as concepts like ParaFusion and RestTalk have long been used and abused by players to create a primarily luck-based environment, even in just isolated pockets.
ParaFusion and Rest Talk can be dealt with. Inconsistent can be aswell except it is much much harder to deal with. Rest Talk basically brings in powerhouse ready to beat the pulp of blue scum (yes you Suicune) into oblivion. Parafusion is potentially requires 2 turns of set up, while Inconsistent needs you to switch in, and you potentially have an Octillery with awesome coverage at +2 speed, which previously could only be done with the careful strategy of Baton passing. Not to mention a potenital +2 evasion.
3) Attacks like Rapid Spin are crappy, but have a single side-effect that warrents there heavy usage, as it specifically combats specific threats. Priority attacks fall into this catagory too, and there are plenty of ways to abuse them by boosting their power. Why don't never-miss attacks fill this same niche, especially when most Moody users are either normal or water, making Aura Sphere and even Shockwave Super Effective(to run some numbers, Shock Wave with STAB is JUST as strong as STAB+Technician Bullet Punch. To put this into perspective, Shock Wave off of Magnezone is just as powerful as Bullet Punch Scizor)
So to combat Inconsistent evasion we must all pack a vital moveslot for pokemon that need it i.e Magnezone, Lucario, Dragonite.
Rapid Spin isnt that overused by the way
Lastly, I feel like a lot of logs of 'I got swept by Moody/Inconsistant' are biased; think of it like the news paper; the number of people who will complain about being beaten by it are ALWAYS going to be higher than the number of people who speak up about having no issue beating it.
If the people decide it's too big a deal, I guess there's not much to be said, but I don't really think it's really that broken.