Yes, Wish -> stroke is the main kill. You can also use Ancestral Recall if you need to - see
here for details.
Using the "search" function is your friend. Yes, it's possible to play a budget dragon deck, but I'm not sure this blue-heavy version is the way to go - most of the spells here are more expensive than other budget version (i.e. Mono black or black/green). You might want to look through some of the old threads, then if you have a more specific idea of what you'd like to discuss, post that.