Actually I don't need to do a google search, I have first hand experience with this from a previous professional life when I actually did migrant interdiction ops. There actually is no limit on the number of asylum seekers who will be accepted under the Refugee Act of 1980 (U.S. law). There is a limit of refugees who will be accepted, but who am I kidding, they're all the same as far as you know, right?
There is no limit on the number of refugees/asylum seekers who will be accepted but there is no obligatory number of refugees/asylum seekers that any countries that signed onto the Refugee Act is required to accept. So I don't know why you choose to play with the words here.
But let's get back to facts. A wall doesn't stop anyone under current U.S. law and treaties the U.S. has signed from requesting asylum! Full stop. Which they can do at any point on the border with the U.S. without first crossing into the U.S., and the U.S. has to either admit them or detain them until they've done a credible fear/reasonable feer screening. Which it would cost a few million dollars for us to staff up fully to allow us to do expedited return of spurious asylum seekers, just under a trillion less than building a pointless wall, but you're the fiscally conservative one are you? You seem to refuse to accept this fact, the question you have to ask yourself is why? Again, you're a smart guy, so at this point you're obviously working super hard internally to be obtuse on this point, it must hurt for someone who actually is smart enough to get it to have to pretend so hard that they don't?
And please, if you want to get into a patriotism pissing contest with me, how about I go live in Mexico a year for every time you put your life on the line for your country and you go live there a year for every time I did? It's supremely insulting to tell someone who served their country for over 20 years they should leave that country because they hold a different political view than you, sorry to lose my temper a bit but I have to ask who the fuck do you think you are?
Nobody is doing a patriotism pissing contest here; only you are calling one here. Having a wall there to protect USA's sovereignty is needed. Full stop. If you have served for your country then help protect it now from unauthorized intruders with a wall, a well-built wall. I can't see why you would object to it.