Any commandment that was said to the sons of Noah and repeated at Sinai applies to both [Israel and the nations]. Now consider circumcision, which was said to the sons of Noah — "And you shall keep My covenant" — and was repeated at Sinai — (Leviticus 12:3) "and on the eighth day he shall be circumcised." One might think it was said to Israel and not to the sons of Noah! That verse "and on the day" comes to permit circumcision on the Sabbath, meaning even on the Sabbath. Or if you prefer, say: from the outset circumcision was commanded by the Merciful One only to Abraham — "And you shall keep My covenant, you and your seed after you" — yes; another person, no. But if so, let the sons of Ishmael be obligated! Scripture says (Genesis 21:12), "for in Isaac shall seed be called to you." Then let the sons of Esau be obligated! "In Isaac," but not all of Isaac. Let the sons of Keturah be obligated! "He has broken My covenant" — this comes to include the sons of Keturah.
Why Only Abraham's Line Is Bound to Circumcision
Yalkut Shimoni on Torah 81:12
כָּל מִצְוָה שֶׁנֶּאֱמְרָה לִבְנֵי נֹחַ וְנִשְׁנֵית בְּסִינַי לָזֶה וְלָזֶה נֶאֶמְרָה וַהֲרֵי מִילָה שֶׁנֶּאֱמְרָה לִבְנֵי נֹחַ וְאַתָּה אֶת בְּרִיתִי תִשְׁמֹר, וְנִשְׁנֵית בְּסִינַי (ויקרא יב, ג) "וּבַיּוֹם הַשְּׁמִינִי יִמּוֹל", וּלְיִשְׂרָאֵל נֶאֶמְרוּ וְלֹא לִבְנֵי נֹחַ הַהִיא לְמִישְׁרִי שַׁבָּת הוּא דְּאָתָא "וּבַיּוֹם" וַאֲפִלּוּ בְּשַׁבָּת. וְאִי בָּעִית אֵימָא, מִילָה מֵעִקָרָא לְאַבְרָהָם הוּא דְּקָא מַזְהַר לֵיה רַחְמָנָא וְאַתָּה אֶת בְּרִיתִי תִשְׁמֹר אַתָּה וְזַרְעֲךָ אַחֲרֶיךָ אִין, אִינִשׁ אַחְרִינָא לָא. אֶלָּא מֵעַתָּה בְּנֵי יִשְׁמָעֵאל לִיחַיְבוּ (בראשית כא, יב) "כִּי בְּיִצְחָק יִקָּרֵא לְךָ זָרַע". בְּנֵי עֵשָׂו לִיחַיְבוּ, "בְּיִצְחָק" וְלֹא כָּל יִצְחָק. בְּנֵי קְטוּרָה לִיחַיְבוּ, "אֶת בְּרִיתִי הֵפַר" לְרַבּוֹת בְּנֵי קְטוּרָה.