IMO...not a chance...Ray Allen is a Hall of Famer. JR would be lucky to get on the ballot by the time his career is over. He is more slightly more athletic than Ray Allen but his jumper has never been as wet, his Bball IQ is way below Ray's, nor has he ever been a team leader.
Back in his younger days, Ray was the man on those seattle and milwaukee squads he played on. He made the eastern conference finals with the bucks (lost to AI and the sixers). With the Sonics he would not only get buckets he would typically guard the other teams best player. He and Kobe had some hate filled battles on the court. Lastly we all know what he did as a celtic.
Not even a comparison in my mind.