Probably never, the TN Gop party is moderate.
They're certainly not moderate. Anyone remember when they interfered with that union election?
For liberals, a "moderate" Republican is anyone that isn't vociferously against identity politics. All the other policies they subscribe to are a-okay.
Not trolling, I'm genuinely curious (I'm very impressed with your knowledge level and think I'd enjoy reading your thoughts): do you consider any current, elected Republicans to be moderates? And if not, when do you think the GOP last had legitimate moderates (and why, of course)?
I would say your best bet in finding one would be to either look in New England, some industrial areas of the Midwest, or in major metropolitan centers. I'm not going by the conventional liberal definition of 'A Republican that doesn't hate gays is a moderate', but rather more of a 'Republican who is willing to compromise with organized labor or will vote for minimum wage increases' is what I'd say would define what a 'moderate' Republican might look more like.
There were more Republicans like that from the period of the foundation of the GOP until the 1980s, but the parties have become much more homogenous since then. I would wager that there are more than a few Republican voters, however, that are much more inclined toward a populist kind of outlook than they might otherwise suggest. I know a lot of working class Republicans though, so that might prejudice my view in that respect.