Most people in the US would be happy with those arrangements. The abortion controversy in the US is manufactured - those opposing abortion focus their rhetoric almost entirely on second-and-third trimester abortion, those who support it focus their rhetoric almost entirely on first-trimester abortion, and both sides pretend the other side is talking about the same thing they're talking about.

The controversy, that is, is produced by the opposing sides asking different questions.

~70% of people don't care or want the first trimester to be legal (AFAIK it's legal in all states). ~65% want the second trimester to be illegal (no idea what the legal status is). ~80% want the last trimester to be illegal (It is illegal in all but 8 states).

~75% want abortion to be legal for medical reasons, regardless of trimester.

About 30% of the US population would be unhappy with the Swedish arrangement. http://www.gallup.com/poll/1576/abortion.aspx

Compare that to the manufactured controversy: http://townhall.com/tipsheet/guybenson/2014/03/10/cnn-poll-58-percent-of-americans-oppose-abortion-in-all-or-most-circumstances-n1806283