Then it’s Ronnie. It used to be Mick Taylor and before that, Brian Jones. With a few exceptions like Sympathy.
ETA: and there’s no need for a poll.
Woody’s other qualities for being chosen by The Stones haven’t been mentioned yet: He was a ready-made drinking buddy and his haircut was perfect. 
Wow. My head is spinning.
So then who was the lead drummer in the Allman Brothers?
Yuss!! Although it took a couple years partying with Keef to take the youthful off his face
Came across something on youtube so bumping this thrread to give it smewhere.
At around 5:40 - after Ron tells Bobby Keys to stop the solo - the Stones become the Mick Taylor Band. Enormous respect here, not just for the time and support the band give him but the fact it’s live on the BBC, on a Saturday night, at Glastonbury. It’s the most exposure any band can have and they give Mick 5 minutes.
At the end on live TV Jagger shouts “fucking great!”, and he’s not wrong: The Rolling Stones & Mick Taylor - Can't You Hear Me Knocking - Glastonbury - YouTube
Wow. Thanks for sharing that. Man, that’s Mick Taylor, ain’t it? Just such a fluid player, with his melodic legato lines (moving from note to note without lifting up). He still has it.
What I really, really got off on was the communication, none in words - thanking Bobby for the sax solo and giving him the heads up. Checking with Taylor, who’s ready. Woody sees the change and goes and hugs Bobby to make the transition obvious. Everybody shifts and orients on Taylor who steps up.
But then Taylor field generals the band using his lead work, and Keith lets him. Notice how still Keith is throughout - he’s giving Taylor the floor. Except one time where Taylor asserts a strong groove with his lead work where he turns to Keith to check in. Otherwise it’s Taylor circling the stage, checking in with each player and grooving with them. Finally he signals its time to close out, Bobby adds his sax, and its, as Jagger says, fucking great. That is how you do it.
No worries. Another, better dimension, and they all know it.
BTW, whence “Keef”?
That’s a generic Britishism for UK accents that can’t handle “Th.” Like when Christian Bale talks ;). The accent-nickname for it is a common one - they guy who replaced Ringo in Rory Storm and the Hurricanes was another Keef.
Th-fronting, as in various “lower-class” British dialects (though Richards was from a solidly middle-class home).
So we don’t confuse him with Keith Partridge. 
Thanks for posting that! Long time Mick Taylor fan here.
Taylor is a great, fluid blues guitarist. I didn’t get to see Mick with The Stones but I did catch him with The Bluesbreakers reunion tour in 82. (photo from the Santa Cruz gig)
Who played the lead solos in Heart of Stone and It’s All Over Now?
If you believe wikipedia, Keith played lead on both( Keith verifies by quote he did indeed play the solo on the latter at least ).
Thanks, Tamerlane. Man, he was good!
River Hippie - all good.
Fwiw what this reminded me of is there are chunks of the Stones catalogue, when the Stones were really something, they just could not touch once MT left - because they couldn’t replicate his work live. Something life this, for example - which is basically all MT from about the midpoint (no writing credit, of course): - YouTube
Anyway, it was good to see them reconciled and at least some dues being paid at the Glastonbury gig.
From what I’ve heard and observed, it appears Keith controls Ron fully. Wood is keyed on Keith just like Charlie and Wyman/Daryl on bass, etc. Taylor was assertive and stepped up to take the baton. Very different.
I need to think about this, but I feel pretty safe in saying the Woody is as good a guitarist as Taylor. Ron is really fucking good, across the Jeff Beck Group, Faces and much other work. There’s nothing Mick does that Ron can’t do, technically. But they seem to engage Keith very differently, and Taylor’s approach lets him assert that long, melodic, lyrical quality that only he could bring.
As far as that type of melodic flow, Mick Taylor is so much better to me vs. Jerry Garcia. I am sure Mick’s working with a far more muscular groove unit lead by Keith helps.
I think the way Charlie says it - or used to - is he is keyed on Keith because back in the day all he could hear (crowd noise) was the amp to the left of his bass drum - obv. in their formative period they used basic floor standing Marshalls.
Incidentally, Ron was still an alcoholic until the early noughties so God knows how he found the groove. Ron’s the peacemaker from what I can see, and always the optimist.
I don’t buy Charlie’s comment - Keith forced his way into getting all eyes on him.
As Ron, yeah, I don’t get it either. But look at Eddie Van Halen down vast amounts of booze and feeling like it was part of how he played.
And yeah, Ron comes across as a peacemaker, whereas Taylor held a completely different place in the band. He held is own vs Keith even while Keith was no doubt a mindfucking bully and a full blown addict. Oy.
The stones need to make an album without using open tunings. The sound has become a carapace on the band, and a lot of people have stopped being able to hear it. The problem though, is that Keiths fingers are arthritic. The open G may be the only thing he can do now.
I don’t know if it’s even possible to work up an album the old way, and not in the studio (!) for Keith these days. I haven’t watched a lot of recent video, but does Keith play a lot of articulated lead guitar anyway?