TEEJ
The US wants others to be in the lead on Libya. Having supported the initial attacks they seem keen to step back. When they do who steps up? There seems no shortage of support for the NFZ but less for bombing missions bar the usual dependable nations and France.
Typhoon will then need to play a role as you suggest along with the GR4. I really do hope this does not become a drawn out affair but the current signs are not promising.