Does faith lead to the social virtue of justice? Yes, “faith is the sole foundation and prop of that justice on which all commonwealths, alliances, and associations of men whatsoever, is founded”, as said by Jean Bodin. Justice, in faith, regards God as the sovereign. The sovereign is the authority, or law maker, to which a member of a society yields in order to gain his liberty. Liberty is one’s freedom of physical action within the limits of the law prescribed by the sovereign – in this case, the law of God. The administration of the law of God is called His justice. Therefore, we can safely say that, yes, faith does lead to the social virtue of justice.
In this corporeal world, justice is the administration of law. As voting is one’s direct action in the lawmaking process, let’s consider the correlation between voting and faith:
According to Gerber, Gruber, and Hungerman, regular church attendance is strongly associated with a higher probability of voting. They state, “There are strong correlations between the degree of religious observance and a wide variety of pro-social behaviors” and “there is a well-known positive association between attending religious services and political participation; those reporting regular church attendance are much more likely to vote.” When controlling for socioeconomic characteristics, age, gender, and political conditions, “those who report attending church weekly are between 10 and 15 percentage points more likely to vote, a difference roughly equal to the gap in turnout between a presidential and midterm election,” Gerber, Gruber, and Hungerman determine.
Further, according to a study, “the percentage of practicing Christians who failed to vote in the 2016 presidential election [was] significantly less than for the general voting-eligible public, although this effect varie[d] across each of the four major racial groups”. See below a modified version of the study’s Figure 1 reflecting the statement above.

Yes, faith does lead to justice.
Thanks for reading!