The verb to suggest can take a subjunctive object, but it also can take an indicative object. The difference can be meaningful.
I suggest that something is true.
I suggest that something be done.
In the indicative case, we are quite naturally describing things as they are. Here, the something is true -- whether I make the suggestion or not. No one needs to follow my suggestion in order to make that thing be true. In the subjunctive case, we are describing things as they are not. The something isn't done -- not yet, not until someone follows the suggestion. At the very least, I don't assume that this something is already done when I make such a suggestion, even if I happen to be mistaken.
? I suggest that new leadership be needed.
This just seems strange. Am I suggesting that someone should create the need, or that we can't know whether new leadership is needed?
The subjunctive doesn't make sense here. She's not presenting a hypothetical or contra-factual idea in this clause. Assuming that the if-clause is true (and, in this context, we should), she's describing her world as it is.