JJ in sb versus BelowAbove

[whynot?]

Gang

this is a hand discussed on another forum where most folks say fold pre. I just dont see this as right and wanted the collective wisdom of 2+2

heres the deal - BA is bb. all stacks are 4500-5000. blinds are 15/30. We're unknown to BA but we obviously know his rep

Cutoff opens for 90. SB is hero here and calls for 90 with jj(mistake imo unless youre playing to trap a known lag). BA rasies to 420.

So most responders said fold to the raise, a few say flat and play post. I think the right move is to make it 1200 - you gain a bit of respect from BA and you are certainly ahead of his range. For the record, I'd call the four bet shove as well.

Am i crazy (so i know the answer is yes, but referring to this hand)?