The following hints may be helpful for troubleshooting.
Login With AD FS Fails With Error “SAML Message has wrong signature”
Have a look at http://social.technet.microsoft.com/Forums/en-US/4acc04b7-aac7-43e9-ba50-9570503045f9/msis0038-saml-message-has-wrong-signature: new window.
Login with Google Chrome Fails
Certain client browser software does not support the Extended Protection for Authentication: new window (e.g. Google Chrome). If web browsers that do not support “Extended Protection for Authentication” should be used, you may have to adjust a feature setting in AD FS 2.0.
http://technet.microsoft.com/en-us/library/hh237448%28WS.10%29.aspx: new window
Integrated Authentication With Mozilla Firefox
Integrated authentication with Mozilla Firefox needs further configuration. The information can be found here: https://developer.mozilla.org/en-US/docs/Integrated_Authentication: new window.