Being a laying hen can make your status in the flock better. It doesn’t always work that way, but just being seen as a threat could trigger a bit of pre-emptive ‘let’s put you back in your place’ behaviour.
If you can split the run that would be a lot less stressful for you and the bantams. They can and do become top hen over larger birds sometimes, but you need the personality to achieve that. If you are timid or unsure, your size can be a big disadvantage.
Hens are obsessed with the pecking order, right down to last place. A small flock can have more issues than a big one, as there are fewer allies to have and less gangs to join.