As in all things poker, it depends. I see that a lot of the previous answers begin with it depends, in this case, on stack sizes. I will usually start open shoving with anything in my range. Of course my range is tighter than a lot of players, and is actually such that I am comfortable raising with pretty much any hand in my range. Of course we should always be taking position and table dynamics into account. I might go all-in over a pre-flop raise for 15x - 20x with a strong hand. Obviously, shipping your stack makes a strong statement about the strength of your hand, and will make a stronger impression on your opponents than a standard raise, unless you are constantly and repeatedly doing so. Then it becomes somewhat suspicious and may actually cause players to start calling you lighter than they normally would.
In small MTTs there may not be that many places paid. So being at the final table may not necessarily mean that you are already in the money. In which case you may not want to ship your stack with more than 10x. This way you leave yourself the opportunity to get away from a bad flop with enough chips to still have a somewhat meaningful stack, as well as the chance to double back up.
As for dealing with that player to your left that keeps pushing, I recommend, as always, that you keep it tight. Tight means discriminating and keeping to the middle to top part of my range, not waiting big slick or huge pairs, while we get blinded off. I usually make a mental note of players that are constantly and repeatedly shoving their stack. They are actually providing an excellent opportunity for you to gain some chips. Common sense tells
us that these guys aren't constantly getting premium hands. In the case of a small MTT where being at the final table may mean that you're playing on or near the bubble, these guys will often exploit players hoping to fold their way into the money. This means if we play the top half of our range against them, we will frequently be getting our chips in good. That doesn't mean that our hand will hold up. But your other choice is to sit back and let them continue to run the table over while you wait for those Aces that may never come. Trust me, once you double through them, they'll settle down some.