Don't make the UK out to be some paradise (legal or otherwise), it struggles with plenty of its own problems.
The UK is far from perfect, but most of the criticisms of the American criminal justice system simply don't apply.
The intentional homicide rate is substantially lower in the UK (1.2 vs 5.35 per 100,000), as is our rate of killings by law enforcement (0.2 vs 30.4 per 10,000,000). The UK may have slightly more property crime (12.2% vs 10% of population victimised), but it's not clear if that comparison is statistically valid.
https://en.wikipedia.org/wiki/List_of_countries_by_intention...
https://en.wikipedia.org/wiki/List_of_killings_by_law_enforc...
https://www.nationmaster.com/country-info/stats/Crime/Proper...
In the UK, it seems, almost everyone has a tale about when they were burgled, when they were mugged or when their car was broken into.
Is this so in other countries, I think not?
Are you a WASP? I guess you're safe in US.
Are you black, latin american, native american, foreigner? I'm quite sure you are safer outside of the US.
It still takes 2-3 years to get to trial for serious offences during which time your name and face are plastered all over the papers (at least locally).
Mounting a successful defence can cost 10s to 100s of thousands of pounds.
Fighting off charges of which you are innocent is not fun. If we assume that the UK's system is good enough to just increase the arrest rate and it will all come out in the wash this would destroy many people's lives.
Although it is clear that the cuts have significantly impacted family, immigration and welfare benefits cases, it is not clear that they have affected the fairness of the criminal legal system.
If yours isn't already as bad as ours, then just wait.
The iniquities of pre-trial detention and cash bail are fixable. Racially biased arrest, conviction and sentencing rates are fixable. Needlessly punitive sentences and an over-reliance on incarceration are fixable. Miscarriages of justice due to pseudoscientific forensic evidence and under-funded public defenders are fixable.