You’re thinking too high level and not looking at the mechanics. Congress has no power to, say, give the House of Representatives override the Senate and President. In the UK, this is not only possible but happened in 1918. The USA would require a constitutional amendment which falls into the same deadlock problem.
Some things do sit within Congress such as the Senate adopting the insane role allowing filibuster. However, this is also encouraged by the fact the Senate can kill legislation like this. Filibusters rarely happen in the UK Parliament because the majority party can force through legislation they feel is important enough.
You say that deadlock is built in as though this is desirable. However the public just became so frustrated by the system that they just elected a madman to smash it to pieces.
Encouraging compromise and working across the aisle is an excellent property in the US system. But that has broken down and I think part of the reason is there’s no mechanism to break the deadlock that can force parties back to the table.