One study developed appropriate tests for each. Every intelligence of Gardner's except music and kinesthetic correlated to high I.Q. In other words general I.Q. seems directly related to supposedly separate, independent intelligences.
Yes, every learner is different, just not in the way Gardner describes
Yes, we should provide multiple entries and outlets for our students, but Bloom's is too simple.
As teachers, we need to understand the brain. Unfortunately Bloom and Gardner's theories do not match current psychological science
Instead of intelligences we should focus on the skills students have and need, then design instruction through games that will allow all students to grow their skill sets.