Yes, safe, and also way safer than doing a visual approach without any backup at night. Like the other commenter said, the local altimeter setting is only required for knowing when you arrive at Decision Altitude, which is not applicable for this visual approach.

I'm not sure of ATC's rules, but my assumption is that they would NOT clear me for an ILS approach in this circumstance. But that's moot, I would not ask for it because it's not authorized anyway. It would be a visual approach, we'd just happen to fly the ILS course and use the GS for vertical guidance.