If any compromise depends on a Democrat administration stopping them at the border, we lose because they will never be stopped. However, if it depends on stopping them BEFORE they reach the border with Stay in Mexico enacted, ending catch and release and enacting national E Verify to tell them they will never get a legal job to support themselves here, we win. Trump proved if you take away their incentive to come as he did with Stay in Mexico and ending catch and release, they will not come.
Even if we had a Constitutional amendment stating that: Dems and RINOs would ignore it and pack enough federal judges to win all the resulting lawsuits.