Sexually escalating does not mean only kiss or sex, it is about you setting up a sexual frameescalation (meaning kissing and sexual touch) in a public place such as bar/cafe - not many women would feel comfortable with that, I as a man am not.
the alternative view is that you're authentic and fully secure in your masculinity so you don't act to impress.
As a guy I also want to get a good look at her entire body, how she moves etc and that's better accomplished walking in broad daylight as opposed to siting in semi darkness in a bar/cafe. There's also the option to sit on a bench, which is just like in the cafe setting, but with more privacy.
LOL at the bolded part. There's even a saying in the English language, 'it's a walk in the park' to refer to something that's easily accomplished.
Even touching her in a sexual way is called escalation
With the rest of the things you said is just you thinking, but you can do whatever you think is best for you. No one is forcing you to do anything as long as you accept also your part of the blame when things do not go where you would want them to do