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.
Login with Google Chrome Fails
Certain client browser software does not support the Extended Protection for Authentication (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.
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.