"more and more problems" - the amount of maintenance would most likely increase rather than decrease. You'd be going from a setup which is relatively complex to one that is even more complex. The rest of your car would still have the same amount of miles and would still require attention when problems arise.
If you love your car, address the problems that it's having and replace broken parts with quality OEM replacement or upgraded upgraded components. Selling the car and buying another probably won't end your maintenance woes - it'll just change them or postpone them for a bit.. :)