Both are very sound strategies, if you can't take the Gate down quickly, your in trouble. Remember each of the spells that you cast places mana on the gate, so in the four rounds we are talking about with a Harmonize on it we are talking 16 mana generated by it.
As I indicated you can and will be able to beat the Wizard, but he will make a couple of adjustments and plug the weakness you found and you will have to find another path to win the next time. I guess what I am trying to get across here is that while it is possible to win a game against the Wizard with the FM, it is exceedingly hard to do it consistently.
After the first game you win by taking out the Gate: [mwcard=MW1C05]Blue Gremlins[/mwcard] are easy to pop out 2 of, along with a [mwcard=MWSTX1CKC08]Gargoyle Sentry[/mwcard] in these four rounds and now you, are along with a Wizards Tower, 4 actions behind. The Wizard just sits and Dissolves and Dispels by sitting in the zone next to the Gate, and now you are getting beat up! Or he places a [mwcard=MW1E22]Hellfire Trap[/mwcard] in the gates zone, or as mentioned above, places a [mwcard=MW1E38]Teleport Trap[/mwcard] in the zone with [mwcard=MW1C18]Gorgon Archer[/mwcard] who then plinks you again and Weakens you. This is my problem with the Wizard he can carry all of this in his book, he just sees how you play once and then he adjusts his play and you are back to square one.