It's not really necessary to have a set strategy, but could you possibly link us to a sample game? I'm sure the players here would have no trouble pointing out ways for you to get a nice position and hopefully you could use this information :) In general this type of play is terrible because it fails to develop the pieces and the pawns by themselves are not much of a threat.
The pawn advance...

Sure. This one is pretty indicative of what I mean: http://www.chess.com/livechess/game?id=378988103
I feel like to decently well in these games, but these are typically the games that throw me for a loop where I feel like I'm just slowly trying to make "okay" moves waiting for a chance to open up the position. So definitely all thoughts are welcome!

You actually played quite well up until about 35.Nd2 where you just hung a Knight to Bxd2 although he either didn't see it or didn't realize Qc1+ wasn't mate. You had a forced win on move 7: 7.Nxe5! dxe5?? (7...g4 is probably best but 8.Nf7 wins a lot of material) 8.Qh5+ Ke7 9.Qf7 checkmate. On move 6, 6.dxe5 was very strong as 6...fxe5 7.Nxe5 dxe5 8.Qh5+ Kd7 9.Qf7+ leaves Black unable to block on e7 without losing the Queen to Rd1+ and 6...dxe5 7.Bf7+ is very inconvenient as 7...Kxf7 loses the Queen. If 7...Ke7 you can just retreat the Bishop (b3 is a nice square - in general in chess openings where you get a trick where the Bishop can take on f7, b3 is a better retreat square than c4 because the Bishop is defended here)
While I'm sure it's simple, probably the "opening" I currently have the most difficulty with is someone who just does nothing but slowly advance all their pawns. I can usually win I can survive the first 14 moves or so (since no other pieces are active and the king is completely undefended), but those initial moves can be quite stressful.
Are there any particular strategies people have for such kamikazi-style play?