I wouldn't say that mainstream/popular music is specifically influenced by trance. I'd be a little more generic when saying it's influenced by that kind of sound. Just because some song has some sort of saw synth or whatever in it doesn't mean it was influenced by trance. I'd probably generalize it to "electronic." But whatever, pop/hip-hop/rap etc has been doing it for a long time and it's pretty awful. Really yawntastic and uninspired loops over most likely cheap lyrics.
As for trance centered video game music, Yuzo Koshiro's (Streets of Rage, Ys, etc.) work on the Wangan Midnight racing series had plenty of typical eurobeat/trance tracks on it. It worked fine in Japan and it would probably work fine here too. Though if you ask me, if video game music is going to have a soundtrack based in electronic dance music, it'll probably take it's influences from house or breakbeats first if anything.