Are you sure? It's working for me. An example. FYI, it is automatic.
Didn't know about it. Thanks for the link!
Verifying signed messages does not expose your private keys and now the site is working good.
Yeah, I just tried it, but just like you nothing happens after I paste everything. 
Anyway if you're still looking for online verifier try this http://www.coinig.com/
Anyway if you're still looking for online verifier try this http://www.coinig.com/Didn't know about it. Thanks for the link!
This website had serious problems before with their random number generator[1]. I would certainly avoid this website.
1: www.reddit.com/r/Bitcoin/comments/266hdb/psa_brainwalletorgs_random_button_uses_lowentropy/
1: www.reddit.com/r/Bitcoin/comments/266hdb/psa_brainwalletorgs_random_button_uses_lowentropy/
Verifying signed messages does not expose your private keys and now the site is working good.