Yes. I could care less about MCFC and hope this club continues to operate as a New York City club and not as a branding extension of Manchester. I think being a part of the City Football empire will be a massive advantage for us in MLS as it gives us access to global scouting and development that no other MLS team has. So for now, I like the partnership as long as they don't try and shove Manchester down our throats. My hope however is that as the club and league grows, it eventually sells to a local independent (of Soccer) owner who will treat it as it's top priority.
I do think that the City name was perfect because it just fits so well with New York, and most casual fans won't even make the connection to Manchester. If this was New York United FC or Hotspur or something more obvious and less fitting, I think it would be tougher to think of this club as it's own and separate it from Euro allegiances.
Have any Yankee fans who supported Liverpool drop them when the Red Sox ownership took over the club? I know it's not the same since they have completely separate but it's similar enough.