I feel the same way about college football. I have almost no interest in the playoff or any of the bowl games unless Illinois is involved. The only season in the last 15 years where I had any interest in the rest of the country was 2007.
Basketball is different - I always look forward to the tournament and watch as many other games as possible. It might be expectations that we should be one of the best in the country and hopefully we have finally found our way back.
You almost nailed my pro teams (just replace White Sox with Brewers) but I can't say I love them all equally. The Illini are always first and foremost for me and it's not close. I love a player like Trent more than I could ever love a pro player - it's like a family member.