Would it? People don’t exclusively learn English to migrate to the US.
What language do you think Germans and Spaniards use to do commerce with each other? There needs to be a common language, there’s no bandwidth to learn all languages, so due to historical and modern reasons, English prevailed.
Re Australia, Australians have highly preferential options to move to US which is not reciprocated.
So you are already saying it isn't just language, your wand would also need to erase "preferential options" facilitating the direction of migration. Which is what I said but in different words.
What language do you think Germans and Spaniards use to do commerce with each other? There needs to be a common language, there’s no bandwidth to learn all languages, so due to historical and modern reasons, English prevailed.
Re Australia, Australians have highly preferential options to move to US which is not reciprocated.