Hedwig tore away someone else's identity because it might detract from his/her own
Not entirely this, I think, though definitely that's important. But also simply that Yitzhak was a better drag queen than Hedwig (one reason why the character is played by a woman rather than a man is to help make that clear, though it's more obvious in the stage show--also the stage show involves a VERY quick costume change and a man couldn't have done it as fast as necessary), and Hedwig can't stand that. There's a rant in the original Broadway production in which Hedwig seems to be trying to convince Yitzhak (or herself) that Yitzhak has power by virtue of being a Jewish man married to a German woman, despite it having been made clear at every turn that Hedwig does her utmost to take away whatever power Yitzhak has at any opportunity. Yitzhak's response is, shall we say, less than polite.
(the Rent/passport subplot only exists in the movie, though I thought it added a lot)
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Not entirely this, I think, though definitely that's important. But also simply that Yitzhak was a better drag queen than Hedwig (one reason why the character is played by a woman rather than a man is to help make that clear, though it's more obvious in the stage show--also the stage show involves a VERY quick costume change and a man couldn't have done it as fast as necessary), and Hedwig can't stand that. There's a rant in the original Broadway production in which Hedwig seems to be trying to convince Yitzhak (or herself) that Yitzhak has power by virtue of being a Jewish man married to a German woman, despite it having been made clear at every turn that Hedwig does her utmost to take away whatever power Yitzhak has at any opportunity. Yitzhak's response is, shall we say, less than polite.
(the Rent/passport subplot only exists in the movie, though I thought it added a lot)