Does the speaker in the British House of Commons hold anything like the power wielded by the Speaker in the US Congress?
No.
In the UK the Speaker is really just the referee - and supposed to be impartial - although in recent times (i.e. Bercow) it was a referee that wanted to be seen to be the star rather than just be as inconspicuous as possible, and far from impartial.
They usually only vote to break a deadlock, and convention dictates that they should vote to retain the status quo, even if that goes against the government of which they are ideologically supportive.
With regard bills they can only determine which amendments are put forward for consideration.
Otherwise they maintain order, perform some ceremonial duties etc.
So they perform some of the same duties as in the US, but notably without the ability to set legislative agenda etc.
There doesn't seem to be the same ructions with Parliament even though Big John was famously unpopular with the Tories who were in power.
Bercow, to many people, overstepped the bounds of convention while he was speaker.
He was far from impartial, especially around Brexit.
And while many thought he was doing the country a service by frustrating government, he really had no authority to do so, or so many thought.
A speaker should be as inconspicuous as possible while running a tight ship etc.
Could the US follow this example and emasculated the speaker
No, because in the US the Speaker sets the legislative agenda.
They have some of the roles/tasks of our PM in that regard.
Maybe they should separate the two roles: Head of the Majority Party, and Speaker, and then, yes, emasculate the power of the Speaker to be in line with the UK.
That might work, especially if the Speaker role became a non-voting, non-political ceremonial role etc.
But I don't know the workings of the system to know if that would be workable, let alone appealing.
Would not be hard starting with McCarthy as he is famously lacking in the tackle department.
Think of the fight we've just witnessed in the House of Reps as BoJo, May et al having to fight with the ERG within the Conservative party.
The ERG are a euro-sceptic group within the Conservatives who, although small, have sufficient numbers to wield extraordinary power within the party: do what we want or we won't support you, PM.
Hence Cameron called a referendum on remaining within the EU: because a minority of his party wanted it, but a minority that were causing him grief, and this was their price for compliance.
Hence BoJo went for a "no-deal" Brexit, because the ERG pushed it.
So having to kowtow to a very small group, giving them undue power, is nothing new in politics.
I guess it will be seen how much McCarthy has conceded to them, although there's always the possibility it may be easier to get help from the Democrats on some bills.