It doesn’t get sent there and disappear. You can’t eat U.S. dollars, so they have to be exchanged for another currency (in which case they come back here anyway) or used to purchase something that is bought and sold using U.S. dollars. The dollars eventually come back here, one way or another.
The money sent to other countries is not spent in stores here, not keeping more Americans employed. Exchanging American money for other currency does what exactly for our economy?
Explain to me how large sums of money wired to Mexico helps our economy? If it is wired close to the border some may trickle back if the family shops here. When you hear of the large sums sent to Mexico every year most is sent too far down to be spent here. Those with family close to the border can shuffle money to their family without wiring it.