If I were you I would approve to go on a date with her.
She approves fighting as a way to solve problems.
In most cases, subjunctive and indicative forms are the same. The only indicator for subjunctive is that no "S" is added to the 3rd person singular and that the verb "be" remains "be" in the present tense and turns into "were" for all forms in the past.
I hope this answer helps you.