Whenever uTorrent runs for about 15 minutes, my entire Internet gets shut down - no Firefox, no torrents, no anything. Then I have to reset my router to get the Internet back up. Are there any workarounds to my ISP (SBC Yahoo DSL) from traffic shaping me?

Stop p2p downloading.

Not all torrents are illegal, just about 99% of them. For the other 1% I'll provide some info. Your router and/or modem is probably overheating or just plain crashing. Torrents try to connect to as many peers as possible creating tons of simultaneous connections. This tends to make routers beg for mercy. Try moving your router/modem to a cooler location or putting it infront of a fan. If that doesn't help you will probably need a beefier router and/or modem. Running torrents can run into some serious bucks in networking gear.