To put some perspective here, the original 850, the 997 & 998 Coopers all had 3.76:1.
The original 1071 'S' had a 3.76, whilst the 1275 'S' had the 3.44:1. The 'S's had a higher 1st, second & 3rd gear though which needed a fairly low FDR in order to get a really good 0 - 60 time.
It does need to be remembered that we are talking about an over-60 year old basic design here and the Mini is 'retro' driving at its best. Don't be afraid to rev them a bit, it's what they were always intended for. In the '60's we used to cruise our 998 Coopers and 'S's at 80+ mph, which was usually over 5000 rpm. To think, we did this all day long on a journey. That is what classic car driving is about.