As far as I know, as long as you have scripts enabled for kg.yubico.com then NoScript shouldn't be a problem. You can use
this page for troubleshooting to see exactly what is being submitted. Do you see the password being changed in the password field before being submitted?
Also, be aware that KeyGenius stored only passwords, so anything else that needs to be filled into the form, such as a username is not stored, and will have to be filled in manually.
Let me know if you succeed in getting it to work or not!