Teaching Children Midrashim as fact

My Shabbos table has now (b'h) been transformed as my 5 1/2 year old daughter wants to talk about the Parsha on Friday nights as she is learning a lot about it in school. This puts me in a bit of a bind. Since they are not studying Chumash yet, what they are taught is a tapestry woven up between the actual stories of the chumash and the midrashim - most often those quoted by Rashi - but not exclusively. It is all woven together with no distinction.

Am I the only one who has problems with this method?

I don't take most of the Midrashim literaly but rather figuratively. Did Eisav really try to bite Yaakov's neck when he hugged him but Hashem turned it into stone? Seems to fly against the peshuta shel mikra which indicate that Yakov's approach of submission seemed successfull in turning Eisav's heart. Are Chazal telling us that deep down Eisav still hates Yakov (Halacha Eisav Sonei as Yakov) and only Hashem's intervention can save us? This is conveyed by Eisav biting Yakov but being saved miraculously - percisely at the time of raproachment?

So when my daughter tells me over the literal version of this and asks "isn't that right, Tati?" I want to reassure her 'yes', but I just can't do it. I can't say "yes, that's what happend" when I don't believe it. But she is too young to understand the nuance of Peshat vs Drush so I can't explain that to her yet. So I wish that they would just tell the story as the Torah tells it and save the Midrashim for later so I would not have to be put into this uncomfortable situation of having to chose between truth as I believe and trying to keep my kid on the same page as her teachers.