The question is can these go into space like aerospace fighters.
Yes, actually.
If you look at Tac Ops rules for vacuum, conventional vehicles and support vehicles can operate in vacuum when they have environmental sealing and nuclear engines or batteries, and in the case of fliers, VSTOL equipment that they use to hover around.
It's an obscure rule, but a way to get around the regular restrictions. The trick is that non-ASF aren't really made to do re-entry, so you're effectively reliant on dropships and small craft to move your units back to a habitable planet afterward.
As for unlimited range in-atmosphere fighters, the rules allow propellers on fixed-wing support vehicles. Though I agree there should be something like a Project Pluto where a reactor itself uses the air as propellant.