MP2 has gone all in every 2 hands for the past 20 hands or so, so I am getting pretty frustrated. BB is solid and I know he has me beat, but it doesnt matter since me and MP2 can have a sidepot. Would you call?

PokerStars No-Limit Hold'em, $0.02 BB (8 handed) from (Format: FlopTurnRiver)

BB ($1.67)
UTG ($4.19)
UTG+1 ($1.97)
Hero ($4.96)
MP2 ($6.01)
CO ($2)
Button ($2.94)
SB ($0.96)

Preflop: Hero is MP1 with J, J. CO posts a blind of $0.02.
UTG calls $0.02, 1 fold, Hero calls $0.02, MP2 raises to $6.01, 3 folds, BB calls $1.65 (All-In), UTG folds, Hero calls $4.94 (All-In).

Flop: ($12.69) 3, 4, 3 (3 players, 2 all-in)

Turn: ($12.69) J (3 players, 2 all-in)

River: ($12.69) Q (3 players, 2 all-in)

Final Pot: $12.69

Results in white below:
BB has Ks Kc (two pair, kings and threes).
Hero has Jc Js (full house, jacks full of threes).
MP2 has Ac Qs (two pair, queens and threes).
Outcome: Hero wins $11.64. MP2 wins $1.05.

EDIT: TYPO

If he raises all-in with exactly 50% of all top hands, you are a 71.2%-favorite with JJ. Even against only top 25% of all hands you are a 66% favorite and against the top 10% of all hands you are still an 58% favorite. So against this loose opponent alone you have a pretty easy call with JJ. Since here the BB calls before you act it depends a lot how tight BB is. Now you have 2 opponents, which changes it a lot. Against a very tight BB I would fold.

Regards, MHFlush