Star Trek doesn't even add anything to the Warner Brothers setting.
Warner Brothers main asset will be the no limits fallacy level of power that their 'Toonforce' characters from classic Warner Brothers animation brings to the table.
Disney/Pixar has its own significant cartoon/toonforce level animation as well of course, but I think Warner Brothers has more media to bullshit scaling and feats from. Nothing else is really competitive in relation to that if we're going with no PIS/CIS type of limitations going on here.