I don't like the idea of re-raising a min-RAISE without a really strong hand. If it's $5 at the flop, I've got TPTK and bet $4, get min-raised to $8, you're talking about a lot of money just to min-re-raise. You MIGHT be called by TPGK, but anyone else who calls you is beating you.

I don't worry about a min-bet on the flop, but if villian is willing to min-bet then min-reraise, he's got something.