The English language, like all languages, is not handed down from above, but rather exists in the minds of the people who speak it. Native speakers have no problems whatsoever learning the irregular verbs, and languages generally do not adapt to make themselves easier for non-native speakers.
What does happen is that if a large number of speakers, native or non-native, make similar mistakes, these mistakes may eventually become the norm. This does, in fact, happen with uncommonly used words. Erez Lieberman et al published a paper claiming that verbs have a quantifiable rate at which they become regularized:
a verb that is 100 times less frequent regularizes 10 times as fast.
However, this takes a long time and is not part of any kind of "effort" or managed process. It takes a significant effort to change the language of an entire people.
Consider the Chinese government's attempts to police the Chinese language(s) and to implement what is essentially spelling reform (technically: simplified characters). This is a huge effort, spanning decades, and requiring total re-education of a billion people. Yet the smaller dialects are not all dead and some are not even dying, the use of traditional Chinese characters has not completely died out, and the Chinese were starting with a population that had a high illiteracy rate. There is a huge cost involved in attempting this and most countries would simply be unable to carry it through.
Language is determined by its speakers. As long as most native people don't have problems with irregular forms, the language will continue to have them. Non-native speakers probably have as much chance of changing that as I do of getting China to ditch characters and go Pinyin all the time.
Also note that some verbs are being irregularized, see this Language Log post about "snuck".