"Easily" is a relative term. What is easy to one person, might not be easy to another. However, although there are many versions of karate, and numerous variations of Taekwondo, they have many similarities in philosophy, classroom training, rank structure, and self defense techniques. Although there are some significant differences, it should be no problem making the switch from one to the other. It really depends on the individual, and how much you are willing to "empty your cup" and open yourself up to knew methods, and following the guidance of a new instructor without mental conflict or adversarial questioning.
When permitted, productive and positive questions posed respectfully, and at the appropriate times might help to learn better, and explain the difference between what you learned before, and are learning now. However, it is often not a matter of one being right or wrong, but different tactics, philosophies, and strategies that are taught uniquely in each system. It is usually best to put those differences aside in you mind, and be 100% open to learning.
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