I'm a prison abolitionist who believes the police are generally too powerful and have too many incentives to lie under oath. If a lawyer asked me about these things during jury selection I strongly suspect they'd move me out.
Expect to be grilled on this subject, including being asked to cite instances where you’ve taken actions (protested, worked for legislation, volunteered, etc) based on those beliefs.
That may catch someone trying to just bluff their way through things and fumbles on obvious lies, but if you actually believe this kind of thing and still say "nothing" I'm guessing they'll believe.
There are certainly beliefs you can hold that will get you removed. But the courts have heard them all before. Further those beliefs are pretty far out on the scales.
Just saying you don’t trust police isn’t enough.
You are more likely to get kicked off for a specific profession than a stated belief.
