Does Trump mean "very big" (in power, not in size) or "wonderful"?
closed as unclear what you're asking by user178049, Glorfindel, Rompey, shin, Varun Nair Apr 26 '17 at 12:09
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I understand that this can be confusing. As you've noticed, "great" can mean anything from "wonderful", to "important", to "excellent", to "powerful" and to even "large".
The point is that the slogan is very vague and so the meaning depends largely on the audience's interpretation. Generally, this depends on their values. If for example the supporters endorse a particular military policy and Trump intends to implement it, then in the supporters' opinion, Trump's implementation will make America "great" again. Since the military is generally associated with strength, you could interpret it as making America "strong" again.
You can apply a similar logic to the many political issues, but that will only get you so far. Again, the interpretations will vary from one person to another, and that's what makes it appealing.