Your personal charity is admirable, the need for others to see it, less so.
To claim that accepting refugees doesn’t encourage others is just plain stupid. That is why the flow is increasing, people have learned they have a pretty good chance to get in, if they take the chance.
Finally, there is nothing compassionate or humanitarian in encouraging the flow of immigrants from central America to the USA. Its the equivalent of giving some Hondurans a fish, when the whole damn country needs to learn to fish for themselves. With the big problem being that you are luring tens of thousands to suffer a horrific trip of rape, robbery, abuse and murder, so you can feel good about yourself for giving them a few scraps of clothing and meal or two.