Likely Scenario:

MWBC. There are normal situations, especially with dishwashers, where there is more than one circuit in the same cable. So it is very likely that you do have two circuit breakers controlling the same junction box.

Is this normal

Yes and no. It sounds like your panelboard is missing a required tie between the two breaker handles.

Also, where you said "get power", we need to make sure you're making the correct observation using a multimeter or a plug-in lamp or appliance. Are you really getting power or just setting off the NCV? You're going to get all kinds of confusing NCV results from a MWBC scenario. The NCV will detect electricity unless both circuits are off.

Likely Scenario:

MWBC. There are normal situations, especially with dishwashers, where there is more than one circuit in the same cable. So it is very likely that you do have two circuit breakers controlling the same junction box or cable.

Is this normal

Yes and no. It sounds like your panelboard is missing a required tie between the two breaker handles.

Also, where you said "get power", we need to make sure you're making the correct observation using a multimeter or a plug-in lamp or appliance. Are you really getting power or just setting off the NCV? You're going to get all kinds of confusing NCV results from a MWBC scenario. The NCV will detect electricity unless both circuits are off.

Update on new photos:

The cable with the electrical tape on it is not normal. It must be terminated inside a junction box if it's still attached to any circuit.

Likely Scenario:

MWBC. There are normal situations, especially with dishwashers, where there is more than one circuit in the same cable. So it is very likely that you do have two circuit breakers controlling the same junction box.

Is this normal

Yes and no. It sounds like your panelboard is missing a required tie between the two breaker handles.

Also, where you said "get power", we need to make sure you're making the correct observation using a multimeter or a plug-in lamp or appliance. Are you really getting power or just setting off the NCV?

Likely Scenario:

MWBC. There are normal situations, especially with dishwashers, where there is more than one circuit in the same cable. So it is very likely that you do have two circuit breakers controlling the same junction box.

Is this normal

Yes and no. It sounds like your panelboard is missing a required tie between the two breaker handles.

Also, where you said "get power", we need to make sure you're making the correct observation using a multimeter or a plug-in lamp or appliance. Are you really getting power or just setting off the NCV? You're going to get all kinds of confusing NCV results from a MWBC scenario. The NCV will detect electricity unless both circuits are off.