Weakening the dollar would make the export sector happy, but if you did enough of it to make the US export sector strong you would make assets unhappy. In fact, we have front row seats to this very lesson which appears to be even stronger in reality than it is in theory: we are already seeing yields rise despite a dollar that is still strong enough to crush exports.
Assets have had such a stranglehold over US politics for the last 50 years that if we ever actually run pro-export policy it won't be due to doomed self-promotion by exports (we even have a term for the pattern where this fails on first contact with tradeoffs: TACO) it will be because assets self-sabotage, implode, and exports fill the vacuum.