I really like having Alyx around, if it weren't for her character I figure the game would be boring after a while. Plus, she acts somewhat as an objective narrator. If she weren't there, I don't think I would have made it through EP1, helpful pointers and stuff.
I'll be interested to see how...
With my luck, I'd be up on a roof somewhere working on an A/C only to have a headcrap or fast zombie attack me. Hopefully I'd be able to set it on fire with my torch or something, if not it would be blunt force with a tool of some kind. If not, I'd obviously be dead.
But if I did survive...