This meme assumes that “Republican” and “Democrat” are fixed labels. It ignores the fact that the 15th amendment was ratified in 1870. Obamacare is from 2010, 140 years later. The lowest level official involved in approving laws and amendments is representative, and the minimum age for those is 25. In other words, to have supporter or opposed both policies would require a politician to be 165 years old when lobbying about Obamacare. Such decrepit politicians do not exist, AFAIK.
The labels are the same, but the content is different. To claim that there really is a meaningful connection between the two groups (either Republicans in 1870 and Republican in 2010, or Democrat in 1870 and Democrat in 2010) requires more than hand waving.