Is Moore a reconstructionist?
I don't know, but I've read a lot about him and several of his writings and haven't seen that. Given his position, it wouldn't make much sense for him to refuse the aid of any Christian group just because he doesn't agree with their eschatology (theology of the end times). That, I imagine, is why he has worked with Catholics (Alan Keyes) and dispensationalists (I'm pretty sure that's Jerry's position) who don't have the same views of the end times.