You do not have to put up with an acoustic guitar and an electric guitar that feel very different if you don't want to. Here are some options.
Buy a different make and model of acoustic guitar and electric guitar to make the necks and other measurements as similar as possible between the two
Every guitar has certain measurements and parameters. If you are not familiar with these, you can look them up.
- Scale length
- Nut width at the neck
- String spacing at the bridge
- Neck thickness and shape (profile)
- Fingerboard radius
- String gauge
- Action (string height)
- Fret height and shape
These parameters are often very different between a certain model of acoustic guitar and a certain model of electric guitar.
However, you can look for and purchase electric and acoustic guitars that are as similar in parameters as you can make them. You can use the same gauge of strings on your acoustic guitar and your electric guitar, and have a repair technician give both instruments a set-up to optimize the intonation and action for the string gauges you choose.
However, you might want lighter strings on your electric guitar so you can bend string more easily for solos, and heavier strings on your acoustic guitar to get a richer tone; in that case you might change to one gauge lighter on your acoustic guitar and one gauge heavier on your electric guitar so they can be closer in feel but still suitable for different purposes.
You can order a custom replacement neck for a Telecaster or Stratocaster from a company like Warmoth that lets you choose each of the parameters above to match the feel that you want.
Acoustic-electric guitars that feel like regular electric guitars
There are acoustic-electric guitars with thinner bodies, thinner necks, and designed for use with lighter strings, specifically to appeal to players who mostly play electric guitar and want similar parameters and feel. Many manufacturers make these.
Fender makes the Kingman acoustic guitars line that essentially have an electric guitar neck, similar to a Stratocaster or Telecaster, bolted to a regular acoustic guitar body.
Godin makes the Multiac A line of acoustic-electric guitars with thin bodies and necks designed to feel exactly the same as a regular electric guitar such as a Telecaster or Stratocaster.
Or you can try to do without the acoustic guitar and use an electric guitar which has been designed or modified to emulate the sound of an acoustic guitar.
Electric Guitars with Piezoelectric Bridges
Many companies make piezoelectric pickups built into custom bridges with preamp kits for electric guitars that can be used to simulate the sound of an acoustic guitar. One example is the Fishman PowerBridge for Telecaster. You can buy an electric guitar with one of these bridges and preamps already installed, or you can retrofit this kit into a guitar that you already own.
Electric Guitars that use Physical Modeling to sound like an acoustic guitar
There are a few electric guitars with digital physical modeling sounds, such as the Line 6 Variax, which are designed to emulate the sounds of different kinds of electric guitars and acoustic guitars all in one instrument, so you never have to change guitars at all.