A.H.
They're not ready. I started potty training my daughter at 2 1/2 and she had the pee thing down almost right away but WOULD NOT poop in the toilet until she was 3 1/2. It was an agonizing year I wish I could do over (in this regard). She begged for pull ups and I would give in afraid she would become constipated.
One compromise we made: she had to be in the bathroom to poop and we would immediately put the poop (if it was reasonable) in the potty and flush it away. So at least this way she started associating the bathroom with pooping.
At the end, I knew she was ready and I knew she could do it so I just stopped buying the pull ups. She knew the day was coming and when it did she was able to go. We had a few hiccups after that but shortly afterward it wasn't an issue at all.
Good luck.
About the clothes off-- my daughter, now 4 1/2 still regularly takes all her clothes off below the waist when she uses the potty.