system is broken
Like everyone else, we urge you to wash your hands and engage in social distancing.
Unlike everyone else, we urge you to also help with this smart plan to get more tests, ventilators, and PPE. Everyone can do that plan right now, at home, in just 15 minutes.
If enough people help with the plan we can save lives. Take time out now and help get more desperately-needed supplies.
"The [immigration] system is broken"
"We have a broken immigration system. Nobody denies it."
That's misleading because the problem isn't with our rules and laws so much as the fact that they aren't enforced. There wouldn't be a problem with illegal immigration if politicians would simply allow our laws to be enforced. If you consider "system" to including not just our laws but the enforcement of those laws, then the statement isn't misleading. However, since it's almost always said in the context of supporting changes to those laws, it is misleading.
This talking point is like a shady mechanic removing all the spark plugs from your car's engine and then saying, "see, your engine doesn't work."