"Representing a minority of the population"? If this were to actually pass in enough states to reach 270, it would presumably be in states representing a majority of the population. I don't see a realistic combination of remaining states that would be otherwise.
Here is a viable map that consists of the following:
1. States that already have the compact passed
2. States that have an initiative process where voters could get it done themselves
3. States that have a Democrat-controlled legislature that could either pass it or put an amendment on the ballot for this
* There are even more conservative states that allow various forms of initiatives, but I didn't include them (ex: MS/ID/OK/NE). Some of the more conservative states may have difficult regulations for ballot measures.Also worth noting is that any initiatives passed in GOP-controlled states would probably find themselves at risk when the Republican legislature inevitably puts an amendment on the ballot every 2 years to repeal it.
I'm not saying that map above would be possible in the end, but between Democratic states, states that have already done this and states with initiatives, you could make it work without Republican
lawmaker support.
I think there it might be kind of hard to fight a proposal that simply amounts to whoever gets the most votes wins. However, I'm sure Republicans would think of some way to get lots of people to vote against it. Overall I doubt it could be done if the GOP fights it tooth and nail every step of the way with basically unlimited financial support.