It won't. People use Twitter because of its free speech rules and this is very unlikely to give the same degree of freedom to the "conservatives".
(The mods seem to ban accounts that get enough reports without really reading them. If I report an account it does tend to get banned 3-4 months later even though they've already sent me an email saying they ignored my report.)
The moderation didn't actually change either though. They unbanned a bunch of people once, but as I said I've gotten a fair number banned again since they can't stop themselves.
Or more recently, Harvard's algorithms that mathematically demonstrate Asians don't have interesting personalities.
Perhaps a tiny minority of 1st Amendment weirdos in America, but outside of them nobody else cares. Normal people just want to follow Kim Kardashian.