If you're looking for a 20min party game on the same vibe, I can't recommend The Resistance: Avalon highly enough. A more recent take on the hidden role and voting genre is Secret Hitler, but I didn't try that yet.
Links:
Twilight Struggle: https://boardgamegeek.com/boardgame/12333/twilight-struggle
Cuba Libre (COIN series): https://boardgamegeek.com/boardgame/111799/cuba-libre
Other COIN games: https://www.gmtgames.com/c-36-coin-series.aspx
The Resistance - Avalon: https://boardgamegeek.com/boardgame/128882/resistance-avalon
Matchmaking is there as well as async play, so you can get a game going with a stranger. but, it might take awhile.
I've played it (with a friend) about 30 hours so far, it really is a great game. After a few brutal losses I started to get the hang of it. There is depth, sacrifice and tough decision making. I'm definitely a fan of the game, now.
Speaking of which, I ought to go take my turn.
[1] https://boardgamegeek.com/boardgamedesigner/772/volko-ruhnke