Have you seriously not gone through the thought exercise of why some thoughtful + well-informed people would oppose your opinion on the subject?
(1) in previous centuries, the US accepted as many immigrants as could arrive “on Ellis Island” and it only took a few weeks. All of the immigration barriers that you overcame were added by American legislators many centuries after my ancestors came to America. I don’t view “illegal immigrants” any different than I viewed my own ancestors who came to America in the 1500s.
(2) US law affords legal pathways to residency/ citizenship for refugees and political asylum claimants. Just because you used one slow legal workflow doesn’t mean you should look down on people who used a faster legal workflow. They aren’t “gaming” the system — they are using the fast lane that was installed purposefully. If anything, we should use the legislature to revisit the fast lane (the refugee and political asylum claims)
(3) an infant didn’t have any volition in this situation. Maybe they were born here as an “anchor baby” (which the Trump Admin is trying to redefine as not-a-citizen, breaking with all of the jurisprudence). If they were pushed over the border by their parents or someone else, we have a duty to make sure their life is handled with care, not malice.
(4) there are political and media interests in making “legal immigrants” like you hate other immigrants. It makes native born Americans feel like they have cover for their hatred of immigrants. You should sit with the thought experiment of whether it’s actually relevant to the conversation that you “spent years getting here the hard way” or whether the conversation would be more productive without it.
(5) the reason the “immigration system is broken” is because there are multiple factions in America who can’t agree on what kind of changes to make to it. Famously Obama tried to force Congress to deal with it around 2013, but the “Gang of Eight” couldn’t come up with even broad guidelines for changes that both parties would agree to. There are simply too many people who have strong opinions and yet believe untrue things about American immigration. Are you perhaps in this category?