R-36 “Satan” was desinged by and manufactured at Yuzhmash, now Pivden’mash, located in Dnipro, Ukraine. More recently, Pivden’mash has been building “Zenit” rockets, that has >70 successful launches and has a 13.7 t payload to LEO.
I think Ukraine is mostly waiting for a proper excuse rather than capabilities to send non-nucler ICBM in towards strategic locations in Russia.
@Kyoyeou@slrpnk.net seems to have given all the background info :)