They are really vastly different.
Ascension having monsters is sort of (but not exactly) like a fifth faction. Also, the cards themselves have value in Ascension; in SR, every card is just a tool.
Bases/outposts are a pretty big deal … directly attacking the opponent, of course … and then there’s the whole chaining thing. It’s quite possible to win in Ascension while barely paying attention to the factions.
Other than the basic mechanics of center row/discard pile/always-available cheap units, I don’t feel like they are anything alike.