Unless the airlines involved have an interline agreement, you won't get your bags tagged between airlines. In this case you would clear US customs in Canada, pick up your bags in SFO, check in with Asiana there. On the way back, you would have to clear US customs in SFO, then go and checkin for Westjet, then clear Canadian customs once you get to Canada. I don't know off hand what terminal Asiana uses in SFO, so you'll have to check into that and how much time you will need to make the connection.
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