That is cherry picking to the extreme.
Why pick only 86 to 88? They were not Bird's best years, as he won his three straight MVP years from 84 to 86. In fact, Bird played 4 out of 6 possible games in 87 to 88.
Let's look at all the numbers.
In 84 to 85, Jordan averaged 32.5 ppg, 7.2 reb and 5.5 assists vs. Bird, who had 23/6.2/2.8. And that was Bird's MVP season and Jordan's rookie season.
85 to 86, Jordan had 20/2/1 vs. 32/6/8. Jordan only played one game in the year where he broke his foot.
86 to 87, Jordan had 29.7/5.5/4.8, Bird had 33.8/7.8/7.5
87-88, Jordan had 39.3/4/7.5, Bird had 33.5/9/6.3
88-89, Jordan had 52/3/2 (and 9 steals), while Bird had 18/10/6. This is the year where Bird was really hampered by injuries, and was never the same since.
89-90, Jordan had 32/7.3/7.7, Bird 29.3/8.3/7.7
90-91, Jordan had 37.5/7/7.8, Bird 23/10.3/4.8
91-92, Jordan had 30/8/4.7, Bird 16/4.7/6.3
Overall, Jordan 33.5/6.1/5.8, Bird 26.9/7.7/5.8
Sure Bird was hampered by injuries in most of those games, but even when we look at the 3 years where both of the players were healthy, Jordan bettered Bird in 2 out of the 3 years, and that is taking into account that one of the year was Jordan's rookie year.
In terms of records, it's no secret Bird had McHale, Parish, DJ and Ainge, while Jordan had Oakley (good player), Dave Corzine and Orlando Woolridge. I mean, give me a break.
I have always thought that Bird was underrated, and still maintained so. Bird, in his three MVP years, was every bit as dominant as Jordan and Shaq was in their peaks, with all three more dominant than Lebron is now. That said, Jordan simply had a much longer peak due to luck (as in less injury issues).
In H2H during healthy years, I would say they were tied, with a slight advantage going to Jordan.