I am a British army brat and we used to watch a fair bit of Dutch TV when stationed in West Germany back in the '70s/'80s for that reason - subtitled. Mmmm ... Vara!
The accent thing is very complicated. The US has had a lot of inputs over the last few centuries and don't forget the locals who were already there. I suggest that the Dutch accent informed the American one accents rather than the other way around. Belgium of course also contributes there. English spoken by a Belgian also sounds more left pondian than right. That said, I have met folk from both the Netherlands and Belgium who can deploy pretty convincing generic en_GB or en_US sounding accents as required. My dad's driver at our last posting in Bracht in Germany near to Roermond in the Netherlands was able to speak German, Dutch and English well enough to fool native speakers of all of them. We are still in touch nearly 40 years later 8)