For me, an outsider, the US was always in contrast with other first world countries in terms of how lucrative it to the capital, and how powerful and healthy the whole economy is on a large scale, and how quickly it recovered after 2007, compared to other economies that were similarly affected. Everybody moves to US for jobs, or to start a business. Doesn't US left wing sees that as something worth preserving?
So while I'd guess that higher taxes will hurt growth at some point, I'm not sure that they're that easy to escape; perhaps I'm missing some obvious loopholes.
So if you make American companies less profitable through some regulations, capital will move elsewhere, but if you raise the capital gains tax, I'm not sure it will.