Hello Krastor!
I just finished K2 and wanna talk about nice Endgame mod Space Exploration
Fuel Refinery (Important)
I found that K2 Fuel Refinery replaced SE Fuel Refinery and while you on starting planet - everything is ok
But K2 Fuel Refinery is can't be built on space platform and asteroids - it's pretty bad, because you can't craft liquid fuel for fuel your rocket and spaceship. (However the small workaround is fuel them with liquid fuel barrels, but you need tons of them and it's very hard)
White science (Suggesting)
SE has very specific and interesting limitation - you can fly to space with blue science, but White science research can be performed only in Space (space lab can't be built on planets and moons). And it forces you to setup Space Platform, research and resources to space delivery. What the profit? Beacon! This technology need white science. And other top-notch research also. With Singularity lab you can research everything (except really SE related things) on your starting planet.
Space buildings & Beacons. (Suggesting)
In space you have all new powerful buildings, which should be placed in space. They has good speed bonuses and beacons are prohibited in space (Vanilla beacon is prohibited, but singularity one is allowed somehow)
Matter & Resources (Information)
K2 Matter processing is great and available on planets/moons only.
So It's nice, matter processing in space will make game much easier.
Space mining in SE is very expensive, so firstly you have to deliver resources from you home planet.
Main headache with liquids - water and oil. Barrels are very small, each launch is expensive, rocket reusability tech is extremely expensive. Next step is deliver water ice and methane ice from asteroids. It's nice quest and cube->matter->water/oil will reduce complexity simnifically. However minerals can be extracted in space and transforming them to matter can make sence
Energy.(Information)
Now it's casual and simple Coal->Coke->DT->Antimatter.
With single SE it more complex. (coal->nuclear (20-40 cores)->solar in space(long time)->advanced solar in space(very long time)->antimatter)
Seems like it's side effect of paragraph about White Science.
Finally:
K2+SE=already a good compatibility, but we can do It better :)
I will glad to answer on additional questions