Unfortunately they are also 12-21 in inter-league play, tied for the worst in the AL with LAA, and 15-19 against LHP, with only HOU at 13-16, also having a losing record against LHP among AL play-off contenders.
Unfortunately the team has 15 inter-league games remaining, including 6 against division leaders ATL & MIL, 6 against play-off hopefuls PHI & SDP, and 3 against SFG, and it seems they always run into at least one LHP every series.
If they can figure out how to beat the NL and LHP (and as the joke would continue, LHP NL teams), I would like their chances a lot more.