The G1S can see it just fine if the IR cut filter are removed, it use the IMX 291 sensor.
Yes you should relax the 60 FPS demand, that just make it near to impossible to do, and 30 FPS should be fine unless you scramble around really fast or try to capture something that move really fast.
And as i said before i have a sneaky feeling even if you do find a 60 FPS camera it will be coded to go down to 30 FPS none the less if there are little light, as that will give the sensor 2 X more time to capture light photons for each frame.
Fast movement and low light dont really combine well, thats why you see people doing really fast slow motion recordings they need extremely strong lighting cuz if you capture say 100.000 FPS then you alsi max can have a 1/100.000 second to capture light, so there better be a helluva lot of it.
And even then it is also why you often see slow motion recordings being a little dark despite they being made in bright sunshine.
In our dashcams it is also one reason why we loose so much detail in night recordings, cuz slow exposure speeds like 1/30 second are far too slow for recordings capturing motion, the rule of thumb in photography are to never go under 1/500 second exposure time if you try to capture movement, even faster if it is say a motorsport event where we talk even faster movement than walking / bicycling / running.
It is no problem capturing images in just the light of the moon, but it better not be of something moving as you need a exposure time measured in seconds.
Thats the moon in the background.
If you notice the stars are not dots but streaks and you can see some blur in the tree to the left as there was a little wind that night, it mean i have used a little too slow exposure time here, and the earth are spinning pretty darn fast the the wind moving the tree branches / leaves a little.
Photo is a replica viking curch originally build around year 1000, its remains was found under the floor of a current curch when it was restored.
It is located at the museum for natural history just south of my birth town of Aarhus here in Denmark.
One thing about this photo freak me out.
So the light source is in the background, so why are there a line between light and shadow on the side of the roof facing me and my camera, there was nothing but the building site of the new museum behind me and its roof facing this direction are just a slope with grass on it, but it was not build at the time of the photo.