Is he the type that would adjust to your preflop agression by calling you more or by 4betting you?

If he's going to call you lighter since he thinks you're getting out of line I'd definitely 3bet this pre. I'd find it very hard not 3betting over these lame button min-raises.

As played, I lead a lot so I'd probably lead 3 here. But if you c/r flops often, I'd feel pretty fine about c/r this flop and playing a big pot.