Hmm, I share your sentiments in some ways, and yet feel 'technology' may be a bit too sweeping and generic of a statement to be meaningful. When I think of hi-tech cars, for example, I actually think German engineering, maybe Japanese, but really never American. Though there is definitely Tesla, but then that's owned by a South African. And there are those weird bouncing car things y'all love (j/k), but the French developed and perfected the finest hydropneumatic suspension.
Then there's computers. Definitely I tend to feel the US pioneered and leads here - who else?! Think Silicon Valley, and all that sweet dosh pumped in by DARPA and the defense industries over the last 70 years, leading to all kinds of hi-tech domestic offshoots and products. And yet pretty much all the mobile and embedded devices we now use run on British microprocessors, manufactured in Taiwan under their expertise in miniaturization, using etching machines manufactured solely by the Dutch. And the internet as we know it - wasn't that actually a European project?
And aerospace, well, I'd definitely think NASA holds a lead in many aspects of space technology, though the Ruskies, Japs, Euros and Chinese all have certain areas of expertise where they do things as well or arguably better. Meanwhile the pioneer of much advanced civilian aircraft technology is actually European (Airbus) not American (Boeing), and more people fly Airbus, which is also the world's biggest manufacturer.
Which leaves the arms industry. Where again I'd say the US seems to hold a technological lead in most areas, hardly surprising given the vast sums invested in the defense industry by US taxpayers: think F-35s or the Gerald Ford class aircraft carriers. Though clearly not hypersonic missile technology, where the Chinese and Russians appear to be ahead. And then when I think about it, lots of the other inventions we take for granted come from other countries, like advanced tank armor (Chobham-type), jet engines, or VTOL etc.
So I dunno. The more you look in to technology, the harder it is to unpick the complex interconnected web of innovation and information exchange and say oh yeah, we definitely do that better...