The election itself being horse shit was a really early part of my radicalization at age 9 or so, but aside from his reputation as being incredibly boring during the Clinton years, doing some appearances on Futurama and seeming to care about global warming, I don't know much about the dude, oh and he invented the internet of course. Are we still getting a war on terror? I don't really see Iraq getting invaded in this timeline. I dunno. Guess away!
There were huge tensions with China, but no one remembers because it happened right before 9/11. You could have an alternate timeline where Gore didn't focus as much on the Middle East but instead partially pivoted to Asia. I think an earlier pivot to Asia would've happened if Gore was in charge and 9/11 was somehow thwarted.