Sorry Inc, you just don't get it.
No amount of cardiovascular work will make you go faster - it will help you go longer, but not faster.
To go faster you need to be stronger. You can achieve that by hanging on to faster wheels/interval training etc but the quickest way to get stronger is a tailored weight-lifting program.
And if your weights/gym efforts haven't paid dividends then I would respectfully suggest your prgrams havebeen either badly designed or badly executed (or both).
Please, don't be sorry for me,
but it would help if you read what I am saying. A structured bike based training plan will develop both cardiovascular and muscular aspects of improvement at a rate for maximum gains. The two systems need to be matched, there is no point being stronger if your cardiovascular system can't supply it with fuel.
Do you understand what happens to muscle when you train with weights, you may get stronger ie you can lift more weight but it is not going to help with cycling speed or endurance you may be able to sprint faster but that is not much use on a 1000 mile multi day event.
Suggesting hanging on to faster wheels to make you faster is an unlikely outcome, most probability you will be training at a level too high and delay the required adaption. It is not structured or tailored for the individual.
When I was doing weights ( a while ago) it was a programme for cycling developed by a friend who was also a national coach who I trained with.
The plain truth is training to go faster requires a lot of motivation, more than most people have, it can be boring sitting on a turbo in your garage ( AC/DC helps) or going out for three hours on your own in crap weather but the Peter Keen ( architect of our current national success) developed system works for anyone, is free, and is individual.
Being in a nice cosy gym with all those fit lycra clad people
or sitting in your garage on a turbo
, tough call, one will make you a fitter faster cyclist, we just disagree which one.