It is easier to acquire such status once you are inside. Governments have a hard time getting people out than refusing their entry before they board from their destination. Doesn't mean it can't happen, but the odds are less likely.

This is really a comparison of what you have now in Russia vs. how it could be in the US. If the Russia government was about to make life bad for every Ukrainian inside the country, would you really ask this question.

The only thing that could make a US transition hard is your parents. Usually, what people do is they go first and then bring their parents/wife/etc... because nobody knows how it will turn out. I don't know if this is possible in your case, though.