” the Poskim hold that (in a case that abortion is Muttar) it should be done by a Yid.”
My wife once asked a shilah of a prominent talmid chacham if she could teach medical residents how to perform abortions. To her surprise (mine, too) the answer was yes. The reason given was that because abortions were sometimes mandated, it was essential that there be physicians who knew how to perform them.
“163 million missing girls. Talk about a shidduch crisis.”
This is a huge problem. However, in the US and a few other countries, many statistics indicate that there may actually be a *preference* for girls.
“a Jewish Doctor should do the surgery”
Safe non-surgical abortions are now widely available using the drugs methotrexate or mifepristone combined with misoprostol. And they can be done as soon as a woman knows she is pregant, easily within the first 40 days after conception.
” there is no heter of pikuach nefesh for a goy”
An unopposed gemara in Sanhedrin states that there is nothing permitted to a Jew that is prohibited to a non-Jew. The difference is that the penalty for a non-Jew can be greater; for example, non-Jews are permitted to have a death penalty for petty theft.
“the late Rabbi Eliezer Waldenberg,an esteemed religious judge of the Supreme Rabbinic Court in Jerusalem,who permitted Tay-Sachs abortions through the end of the second trimester”
So did Rov Soloveitchik z’tz’l. Others who have held similarly include Rabbi Shaul Yisraeli z’tz’l, Rabbi Shlomo Aviner, and Rabbi Levy Yitzhak Halperin. Here is Rav Aviner’s opinion: http://www.ravaviner.com/search?q=abortion
I am not familiar with Rav Ovadiah Yosef’s position on this.
“The P’sak in most places in America accords with Rav Moshe. “
Actually, in the rare cases when Rov Soloveitchik z’tz’l publicly disagreed with his cousin Rav Moshe z’tz’l, most American communities follow Rov Soloveitchik — because almost all their rabbis have earned semichah from either Rov Soloveitchik z’tz’l or one of his talmidim.