You didn't answer the question at all. Getting an H1B visa is merely the first step in a very long process towards citizenship. Decades long. For example, if you're from India and you get an H1B, it'll be roughly a decade before you can get a green card. From then you have a mandatory 5 year waiting period before naturalization. And this assumes a normal, functioning immigration process; something we definitely don't have in the US.

This can be sped up if they marry a US citizen, speeding up the process quite a bit, but it will still be several years. Now their children would be citizens, but that's another 18 years before they can vote. Politicians aren't known for playing the long game...