Despite what I've read online about it, I then talked to a couple local guys I know who are great brewers, one of them professional, and they have used Kveik quite a bit. Feedback from both of them is that at really higher temperature, it throws weird flavors that neither of them like. Running at regular ale temps it is clean, but then it isn't faster, and becomes pointless since it is also more expensive, than say US05, etc. So, what I would do personally in your situation, based on all of this:
If this kit recipe is something you have done before with yeast you know, and you want to sub in Kveik to see what it does, go for it.
If you really don't have a way to keep it cool at all, and it is going to get into the upper 70's or 80's, I might be inclined to use it based on what I've read (though I have not personally used it in this temp range yet)
If you are not familiar with this recipe in general and have a way to keep it below 70, I would use a normal ale yeast I'm very familiar with (US05 or similar as they recommend, in my case)
TLDR: Kveik seems like a possible way to go if you don't have good temp control, but if you do, there are likely better options.
That said, I have ordered another pack of Voss and am planning to use it in a pale ale recipe I've made lots of times. I'm going to run it around 90F, and I'm going to run it in a pressure fermenter (not under pressure during active fermentation) so can pressurize it with Co2 at the end and not pull in air. If it is clean at that temp, I might keep it in mind for future batches that I really want to turn quickly. Chances are I'll stick with US05 in my pale ales and IPAs most of the time since I just know it well at this point. I've used US05 dry packs up to 10% ABV with absolutely no issues or hassle, so I know it will work just fine below 8% and will finish right where it should and be nice and clean at 68F.