Learn Spanish (Latin America): Capaz que ignoren ese presentimiento.

The phrase capaz que expresses doubt or possibility, similar to tal vez. In Latin America, you can follow it with either the subjunctive or the indicative. Using the subjunctive (ignoren) emphasizes the uncertainty of the action. If the speaker felt more certain that it was going to happen, they could use the indicative (ignoran).

I learned that capaz means "capable." How does it mean "might" in this sentence?

You are right that ser capaz de means "to be capable of." However, the fixed phrase capaz que (or sometimes just capaz) is widely used in Latin American conversation to mean "maybe," "perhaps," or "it is possible that." Here, it sets up the possibility that they will ignore the feeling.

Could ignoren also refer to ustedes (you all) instead of "they"?

Absolutely. Since the subject pronoun is dropped, the third-person plural verb ignoren can mean either "they might ignore" or "you all might ignore." You would rely on the surrounding context to know exactly who is ignoring the hunch.

Is presentimiento related to the verb sentir?