A new poll shows that CHARLIE SHEEN is NOT winning with the American public.

--In fact, only 16% of those polled have a favorable opinion of Charlie . . . while 71% have an UNFAVORABLE opinion of him.  And 42% of them say their opinion is VERY unfavorable.

--Meanwhile, 63% of those polled claim they're not even paying attention to the headlines or any of Charlie's crazy talk.  35% admit they're keeping up with it.

--As for those who are paying attention, only 18% side with Charlie in his battle with the producers of "Two and a Half Men".  And 57% side with the producers.  20% say they support NEITHER.  (--I guess that leaves 5% as undecided.)

 (--At least Charlie is doing better than LINDSAY LOHAN.  She got an unfavorable rating from 81% . . . while only 8% said they had a favorable impression of her.)

--Despite the public's supposed indifference, Charlie has racked up 2 million Twitter followers and counting, less than one week after launching his account.

--He Tweeted, quote, "Another record shattered.  We gobbled the soft target that was 2.0 mil, like a bag of a troll-house zombie chow."

RELATED COMEDY #1:  71% of Americans have an unfavorable opinion of Charlie Sheen.  The other 29% have never seen "Two and a Half Men".

RELATED COMEDY #2:  Sources have revealed that Charlie Sheen doesn't write his own Tweets.  This is true . . . the drugs write them for him.