@PR: The first table doesn't tell us much. People want lower taxes for themselves, and higher taxes for everyone wealthier than themselves. People who think that taxes on those wealthier than them should be higher (the majority) are in agreement with Democrats, but those who think that their own taxes should be lower (also the majority) are in agreement with Republicans. So, it's hard to say who "wins" this issue, except that the Democrats clearly win on corporate taxation.
It's also ambiguous as to who "wins" on regulation. Most people support greater financial regulation, but most also oppose greater regulation of business in general:
It wouldn't be accurate to say that a majority sides with Republicans, since 29% view the current amount of regulation as optimal, but there are still far more Americans who think there is too much regulation of business than there are who think there is too little.
Overall, I think public opinion is slightly favorable toward Democrats on economic issues. Most people
oppose the ACA, but generally oppose cuts to social programs. On taxes and regulation, neither party has clear support from a majority of the public, as stated above. So again, I think Dems have a slight advantage, but MormDem's initial claim that Americans "agree almost entirely" with them is clearly inaccurate.