Assuming Button is not super-tight, yea this is a good spot to re-raise, just based on the strength of your hand.
Here's an example of squeezing vs. calling.
6 handed NLHE. Player in the cut-off, who steals at every opportunity, raises 3-4x. A decent, tight player cold-calls on the Button, as does the SB. You are in the BB.
1. You have 7
7
. You should probably just call, because while you might take it down with a big reraise, there's a ton of value in flopping a set in a 4-way pot.
2. You have 8
5
. Calling will not show a profit, because your hand is too weak. I would consider raising a little over the size of the pot here, and expecting to take it down very often. CO's range is huge, because he's on a steal. If the other two players had a hand that could call your huge raise, they would have certainly re-raised PF. And even if you get called, your hand still has a little potential to hit something on the flop.