You guys are really underrating Lex.... I feel he is tournament viable. Does he have bad match-ups? Absolutely, but most characters do
I think this is just a case of Lex being so unique in regards to this game. He's not a pure rushdown character, he's not a zoner, he's not a counter zoner. He is all about set-ups and mind games; bending your opponent to your will and forcing them to move how you want them to. You need to be playing 2 or 3 moves ahead the entire game and that's what I LOVE about him. He's a strategist. You don't play for damage. It's all about positioning and set-ups.
Yes, he does have a big weakness against zoning, but I feel his biggest downfall is he's a character that requires thought in a game where most characters don't. When each characters' weaknesses start really being explored and this game isn't so braindead anymore, I feel we'll see Lex moving up to high-mid.
And as far as answering the question, he's got probes, he's got armor, he's got a jumping 3 with AMAZING range... he's got a few tools to get in
This isn't MK where jumping will get you killed. Don't be afraid to jump from 3/4 distance and throw out that Axe. Make them respect it