I don't get to see a lot of laser cut kits, most the kits I build for myself or others are older die cut kits that often require some sanding and fitting before gluing. One of the big improvements with laser cutting is the fit. I prefer CA glue but I do get a reaction from it. I have tried different wood glues but don't care for it. I use a lot of it in wood working and it's great, I just like CA better for kit building.
When ZOR mentioned double gluing I was a bit taken back. If your going to tack with CA why not just use CA throughout the build? The reason for a laser cut kit is the fit, if you have gaps then you have done something wrong. CA thin isn't a gap filler but the thick sure is. Glue of any type is crap as a filler anyway, if I have a gap that needs filling I use filler then when dry I will hit it with thin CA for strength.
Glue types have been mentioned here almost as much as What Prop For My________. It comes down to choice. I like CA but I have about 6 different types of glue on my bench and use the one I think will work best fot the part I'm ready to glue.
I also have found I have a lot less reaction to orderless CAs but they do cost a few bucks more. If in Doubt you can always use Ambroids, old school but it still works very well.