They went through wwii and were spending a lot to develop an arsenal of nuclear weapons against the soviets, plus funding the newely created intel agencies, and in the 50s the soviets took over/helped take over the satellite easter european countries. Further they were involved in Korea so there was war occurring. There was no need to convince them to fund anything, but Eisenhower did warn of the mi complex at the end of his presidency.
All that was happening because it had to, Stalin and Mao, all the European countries Russia had taken during WWII, and Communism ascending, it doesn’t mean they liked JFK getting us into the Vietnam War, besides, since he wanted the war, why kill him instead of the presidents keeping us out of it, Truman and Eisenhower?