"The opposition [in the UK] will, more often than not, criticize the proposals but will not use parliamentary procedure to block them, which it could."
One key difference here, too, is that the US system is designed to encourage bipartisan support wherever possible. To the best of my knowledge there is only one vote in the UK that requires more than a simple majority to pass, whereas in the US the "filibuster" is a natural part of many debates. It's enforced by the constitution and the point is to ensure that major changes ensure broader support than a mere simple majority.
Oh, and while I'm thinking about it, the other factual error in your post is therefore in assuming that Trump is somehow the first victim of these sorts of procedural blocks, at least for a while. Nothing could be further from the truth. Obama, in particular in his second term, was blocked on most of the major policy attempts because his party had lost the majority in the Senate and Representatives. He was even refused the chance to have his preferred candidate for the Supreme Court vacancy, Merrick Garland, up for even a hearing to assess his ability. The Republicans flatly refused, for all sorts of *** excuses but mainly because they had the power to screw over the democratically elected president.
As it happens there's good reason to question the democratic process in the US, but falling for Trumpist propaganda isn't one of them.