Depends on what you want to achieve.
Video games are an easy way of losing yourself in a hobby for an afternoon. Can become addictive and you may lose the entire weekend.
Do you want games that focus on the social aspect and make friends? The story? Quick reactions and precise timing? Building something? Compete? Challenge yourself and improve (at ultimately a pointless task in a video game)? Simulate something accurately?
Before you start, as a gamer what do you non gamers do to spend your free time on anyway?
Why would that persuade someone living in a swing state that sometimes vote republican and sometimes democrat to vote D?
I think you over estimate how many hard lefts don’t bother voting at all because both parties are too similar.
Going more left will cost more votes than they would gain.