FDR was a progressive and did try and stack the SC. He lost that battle but still did a lot of great things (despite being a racist and mysoginist). Out of curiosity, what kind of Strict Constructionist are you? Even Antonin Scalia didn't consider himself to be a Strict Constructionist and believed that no one should be. He considered himself a Texturalist or an Originalist in that SC should interpret the Constitution in terms of "theoretically" what it meant to those who ratified it back in the 18th Century.
In other words, what, theoretically, would the Constitutional Congress have done about machine guns, abortion, the proliferation of drugs, the internet, and other issues that they could not have conceived of back then. To me, Originalism is just another way of interpreting the Constitution, no more or less legitimate than those who want to interpret the Constitution in light of the realities of the modern day.