Some more thoughts on this.
一歩、一方、一員、一説、一節、all seem to me to be Japanese expressions/phrases that do not lend themselves to represented by a mix of Arabic and kanji. In other words, keep them in kanji as you would 一目ぼれ.
一部、一番、第一、all feel fine expressed in kanji, and indeed might be weird if expressed as a mix of Arabic and kanji. I mean, if the expression is 一部の人が・・・ then yes I would definitely keep it as kanji. However, if the source text is talking about multiple, serial units of something, then it might make better sense to use as Arabic + kanji. 1番、2番、3番・・・415番 etc... is fine depending if the context calls for it.
一度 is something that might depend on the context. Is this a measurement of celcius/farenheit or a mesure of an angle? If so, Arabic numerals might be better. Or, is it expressing a "single time"? If so, that would be better off as a kanji phrase.
一つ、二つ、三つ etc... feels entirely viable in a horizontal context, but Arabic numerals also work.
I wonder if there is a better way to explain it without running on...