Yes, and you COMPOUND your responsibility if you trap feral and stray cats, vaccinate them for rabies (which will only be good for one year) and sterilize them before re-abandoning them to continue torturing and destroying native wildlife and spreading zoonotic disease.

Let's quantify the horiffic cat-inflicted carnage you advocate:  in 1999 K. R. Crooks and M. E. Soule conducted a study in San Diego Co., CA and found that 35 WELL-FED, free-roaming PET cats tortured and destroyed 840 mammals, 525 birds and 595 reptiles EACH YEAR.  Only 33% of the mammals and 5% of the birds were invasive "pest" species--the rest (and ALL of the reptiles) were harmless and/or beneficial NATIVE species.  And they warned this was an UNDER-COUNT. 

In 2013 K. T. Loyd, S. M. Hernandez found this was a SIGNIFICANT under-count.  They used "kitty-cams" to demonstrate that free-roaming cats in Athens-Clarke Co., GA brought home as little as 25% of their kills (mostly harmless reptiles).

(CONTINUED BELOW)