re: Is this the most excitement you’ve felt for LSU athletics as a whole?

Absolutely.

The last year that LSU football, basketball, baseball, and women's sports were all simultaneously in the NC hunt or at least SECC hunt in the same calendar and/or academic year was 1986-87.

2000 was reasonably close. There've been some years where Basketball and football were both good the same year- (1970, 1986, 1987, 2000, 2006, 2009)
Basketball and baseball (1986, 1987, 1989, 1990, 1991, 2000)
Baseball and football (1986, 1987, 1996, 1997, 2000, 2001, 2009)

Women's track, gymnastics, softball have been good just about every year. Men's Golf won a NC a few years ago. Women's beach volleyball and men's lacrosse are national powers.