> taxes in the US are much better
This is complicated. Taxes in the US are different. For example, a lot of higher earners are concentrated in California and New York, which have fairly high taxes; in New York or San Francisco a single person making $105k would take home about $75k (slightly less in SF, slightly more in NY) or about £3k more. I would suspect (but do not know) that the UK government pension and health-care is at least slightly better than the US version.
On top of that, people of a given income level spend more in the US (either because things are actually more expensive, or people in the US are more spendthrift; probably a bit of both), so if you come to spend like a typical American[1] your savings won't necessarily be higher in the US. Bay area rent, in particular is insane (rent alone would be more than the £2k a month you proposed for expenses, though $105k/year in the bay area would be a very low salary for a bay-area tech worker).
Now, you can do better. I have a friend who works as a DBA in a very inexpensive part of the country; he makes more than the $105k per year. In fact his yearly salary is higher than what he paid for his house. When remote became normal during COVID a lot of people moved to cheaper parts of the country while keeping their high salaries. Also, everything else being equal, a higher top-line will always provide more opportunities for savings
1: Before you dismiss this completely, there are real social costs to spending less than your peer group. IMO they are worth it, but they should be factored into any planning you do.