Wild strawberries aren't bad. They are just different. I keep a few in my garden for visiting children (children love to put them on straws) and for the animal life in my garden. Then I keep real ones too.
As for your berries being tiny and mushy, we had that problem this year because we did not move the strawberries after picking the berries last year (which should be done every 5th year or so at least, preferably more often). Usually, "bad" berries are due to the strawberries simply lacking nutrition or water, or both. Berries are generally greedy plants in that respect.
If you can't move your berries to newly dug bed (dug two spades deep, and mixed with fertilizer -- I like the natural kind -- calcium and preferably compost soil if you have any at hand and then straw on top to control weeds after you've planted the strawberries) then at least try to mulch down some compost around your plants and as one of the above posters said, some calcium doesn't hurt either if you doesn't already live somewhere with much calcium in the earth.
Good luck with your strawberries for next year.