This option is enabled on the toolbar because it was selected during the Seagate Info installation. The best way to disable it, would be to uninstall Seagate Info then reinstall it with the correct components.
If you would prefer not to do this, you do have other options.
1) Modify/Delete the HKEY_LOCAL_MACHINE\Software\Seagate Software\Query Client keys in each user's registry - NOT RECOMMENDED.
2) Delete Qclient.exe from C:\Program Files\Seagate Software\Query Client for each user. This will not disable the toolbar button, however, it will render it useless.
3) Ensure that the Seagate Analysis Server is not installed. Seagate Analysis won't run without the server, regardless of the locally installed executables. You would receive the following message "Unable to find any Info Servers that are configured as Query Servers. Please contact your system administrator".