shabbat - Melachas on Yom Kippur

Do the additional Rabbinic prohibitions that apply to Yom Tov but not Shabbos (such as the stricter muktzeh laws) also apply to Yom Kippur, in addition to the Shabbos-style prohibitions of that day? That is, does Yom Kippur follow the strictest aspects of both Shabbos and Yom Tov law?

Related: Noled -- Ossur on Yom Tov, Muter on Shabbos?

Answer

On Yom Kippur, there is a special rule concerning meal preparation. But apart from this all is identical to Shabbat. Megila mishna 1, 5:

אֵין בֵּין שַׁבָּת לְיוֹם הַכִּפּוּרִים אֶלָּא שֶׁזֶּה זְדוֹנוֹ בִּידֵי אָדָם וְזֶה זְדוֹנוֹ בְּכָרֵת : ‏ There is no difference between sabbath and the day of atonement save only that the deliberate violation of the one is punished by a human court and the deliberate violation of the other by kareth

SA OC 611, 2

וְכָל שֶׁאָסוּר לְטַלְטְלוֹ בְּשַׁבָּת אָסוּר לְטַלְטְלוֹ בְּיוֹם כִּפּוּר. וְהִתִּירוּ לְקַנֵּב יָרָק וְלִפְצֹעַ אֱגוֹזִים מִן הַמִּנְחָה וּלְמַעְלָה, כְּשֶׁחָל בַּחֹל, וְהָאִדָּנָא נָהֲגוּ לֶאֱסֹר. הגה: אִם נָפְלָה דְּלֵקָה בְּיוֹם הַכִּפּוּרִים, מֻתָּר לְהַצִּיל סְעֻדָּה אַחַת לְצֹרֶךְ לַיְלָה, כְּמוֹ שֶׁמַּצִּיל בְּשַׁבָּת לִסְעֻדַּת מִנְחָה (רַ''ן פֶּרֶק כָּל כִּתְבֵי). וּכְבָר נִתְבָּאֵר סִימָן של''ד כֵּיצַד נוֹהֲגִים בַּזְּמַן הַזֶּה בִּדְלֵקָה בְּשַׁבָּת, וְהוּא הַדִּין בְּיוֹם כִּפּוּר. וְנָהֲגוּ שֶׁהַתִּינוֹקוֹת מְשַׂחֲקִים בֶּאֱגוֹזִים (אֲגֻדָּה וּמַהֲרִי''ל), וְאֵין לִמְחוֹת בְּיָדָם אֲפִלּוּ קֹדֶם מִנְחָה; וְנִשְׁתַּרְבֵּב הַמִּנְהָג מִדִּין הַפְצָעַת אֱגוֹזִים הַנִּזְכָּר (דִּבְרֵי עַצְמוֹ)‏
Anything that cannot be moved on Shabbos (i.e. muktzah) cannot be moved on the day of atonement. But in the past, when this was not shabbat, from Mincha (Ketana) hour they used to trim vegetables and cracking nuts. But nowaday, we tend to prohibit. ANNOTATION (R.M. Issarles). In case of fire, one meal for the night can be saved... Children used to play with nuts, they must be allowed to this, also before Minha (Aguda, Maharil). Noweday the custom to crack nuts become widespread.

Regarding the difference between Yom Tov and Shabbat see Gemara Betsa 2b:

With respect to the Sabbath which is stringent so that people will not come to treat it lightly, he taught the Mishnah anonymously according to R`Simeon who is lenient; [with respect to] a Festival which is less stringent so that people might come to treat it lightly, he taught the Mishnah anonymously according to R`Judah who is strict.

Yom kippur is stringent as Shabbat, so his rule regarding this is the rule of Shabbat, not the rule of Yom Tov.