I'd do it. I already mute most of the slogans. I'd even take a toggle or separate feed. The moderate position.
The amount of stuff you can't mute is insane. You'd have to detect text in images. And minister the current price of Bitcoin for when people just start posting the price (during major moves up and down). And maybe a little 'mark as bitcointwitter spam' button beneath posts for humans to report anything that slips by.