Definitive versions of the Kikka Interceptor was to use the Ne-130 or Ne-330 engines, each developing 900kg or 1,300kg thrust respectively (1,984lb or 2,866lb).
It should be noted that for that "definitive" version a completely new and much bigger airframe was projected, more like the size of the Me-262. If we talk engines for the airframe we have here, which resembles the prototype, the Ne-20 or 20kai would be the the projected ones.
The Ne-20 was a reverse engineered BMW003 clone with some less power output. I think a BMW003 is already in the buttons somewhere so that could be an easy start.
Dang.... From a USN perspective that sounds positively terrifying! This thing seems pretty beast to be honest.
Well, that was what the Brass
wanted or were sold as a possibility. But in reality, given what was actually built, particularly with this airframe, it would have been well under the power level of the Me-262.
Still, a valid first gen jet interceptor and a particular threat to bombers.