But ferrett you really do sound (in your posts, which is all we have to go on) as if you have your relationship with this man in priority position.
Honestly, based on what you've said, I'd suggest you keep it to you two only for the moment, as being around his children really doesn't seem to work for you, and it seems you and their Dad are unable to discuss and agree on parenting style/discipline while they are with you.
I can really see how some people think some of us are being harsh, but it has come across to me like you are more concerned with your relationship than really thinking sensibly about the future, which would inevitably, presumably, be as a blended family (albeit non resident).
FWIW I am a step-parent (to a now grown up DSD) and I know what it's like. Iw as in her life from age two - step parent from age four when her dad and I moved in together.
We had very different views from her mother sometimes (but would always back her, as the resident parent), and I disagreed on times with her father, but we talked about and discussed how we would parent when she was with us as a couple - compromised, and everyone was happy.
The MOST important thing if you want a meaningful long term relationship with this man (which you've stated you have) - is to work things through as an adults in a relationship whilst keeping the kids' best interests in focus.
It sounds very much like you are unable to do this as a couple.
How dare you come on an internet forum and then object to other people's opinions, which you've asked for? 
What did you actually want people to suggest?