Not sure where the person who made that meme is getting their information. According to this Pew Research Study, there are only 5 states that DON'T have greater than 30% support for banning abortion: Connecticut, Hawaii, Massachusetts, New Hampshire, and Vermont.
Hell, 14 states have 50% or better the number that think abortion should be illegal in all or most cases with Arkansas topping the list at 60%.
I do not believe stuff like this is helpful.

Okay, I looked them up. "Data for Progress" didn't do any polling. Their numbers are total junk. This is what they state regarding that conclusion they reached:
"MRP [multilevel regression model, not sure why that's not MRM, but they said 'MRP' three times in their explanation, so...] consists of two steps. First, we fit a multilevel-regression model to a survey sample to estimate how likely someone is to hold a particular opinion based their self-reported demographic characteristics and the state where they live. A regression model is a statistical model used to analyze the relationships between some observed outcome (in this case, a political opinion) and other characteristics, called predictors. Multilevel regression is an advanced modeling technique that makes efficient use of sample data. The second step in MRP is called post-stratification, where we use our multilevel model to predict the responses of the population of each state. Using the demographics and population counts from the voter file, which account for differences in the demographics and geography, we post-stratify the survey sample and the population."

[pewresearch.org]