No, there will not be power rangers in the parks.
No, this will not affect the parks at all.
FoxFamily is a cable channel that Fox bought from Paxson. It was originally called 'The Family Channel' (remember Maniac Mansion and the new Zorro?) Anyhow, TFC went into debt, and Fox bought it from Paxson (who started PAX TV which is now part of NBC) and made even worse programming decisions, driving the channel further into debt. If Disney buys it, the name will change again, as well as the programming, and (hopefully) it won't fail for a third time. News Corp, 20th Century Fox, etc, are not being sold, only the cable operation (and only one channel, at that).