5/3/1 for Strength

Hi,
I want to start this program because it looks like a great program for me.

I was doing some research on suplemental lifts, assistance work etc. My target is to focus on strenght.

Will this program work like this?
Classic 5/3/1 + BBB with FSL and than 2 suplemental lifts and some Core (some jokers when weight will feel really light). Can I Also do pull ups between BBB like superset and do 2 more suplemental lifts after?

So is this good for strenght or should I change something like maybe 5x5 instead of BBB 5x10 or so? And suplemental lifts 5x10 are okey?
Thanks.