The internal Dem battle over $15 wage in reconciliation Bill

This article reports on the internal Party debate on including the $15 minimum wage in the reconciliation Bill. The House did it but there is a question on whether it passes the so-called Senate Byrd Rule, whereby a Senator can object to it if it doesn't have a budget impact. Sanders has made clear with CBO data that there is no question that it would have a significant budget impact. 

However the article is wrong when it said the Dems need 50 votes to overrule the Senate Parliamentarian who rules on such objections, and given a few conservative Dems they couldn't get the votes. According to this piece though, the Parliamentarian only advises the President of the Senate, who decides what can be in a reconciliation Bill. And then those objecting to the President's ruling need 60 votes to overrule the President's decision, which they definitely cannot get. 

Bottom line: the Dems could easily get the $15 minimum wage in that reconciliation Bill if they only had the guts to play the sort of legal legislative hardball necessary. But the question still remains: Do they have that sort of dedication to enact what they say they believe in or is it is just show to string along progressive votes. They can actually do this if they really want to and per above there are no valid excuses.