states:

R Commit: After a player makes a control check, during your turn, that check is equal to your momentum (minimum 2).

Now does the (minimum 2) mean the lowest it'll go is 2 even if you have less momentum, or do you have to have 2 momentum to activate the ability?

if you have 0 or 1 momentum, the check will be a 2.

you don't need to have 2 momentum to activate this response.

stamp. lowest it'll go is 2.