I want to see a 140t to LEO rocket, too and I'm sure SpaceX is already building it.* However, is this really necessary? I think the orignal, soviet moon flight plan would have been to put several stages into LEO and combine them there. The plan was given up, but I think it should still be possible if no larger rocket is available soon. Consider, SpaceX plans to lunch 10 Flacon heavy (53t to LEO) per year at a combined cost of 800-1250 million.*
And of course, the Saturn V did already put 119t to LEO in 1967. Hence, their knowledge in building space stations like MIR. How much was bailing out those rust belt dinosaurs again?