All of the interventions in the US so far appear to have at most caused a decrease in the exponential growth rate of confirmed cases from a doubling time of 2.5 days to 4.3 days (of course, those may not have been the primary determining factors). If one assumes this will continue exponentially to 70% infection or immunity for herd immunity, this means the time to achieve that was moved from around April 24 to May 17.
Please note obvious limitations for the very simple model and assuming confirmed cases are a substantial fraction of the total. But this is a rough estimate of the likely maximum effect of those interventions based on current data.