Chris Bosh is already looking beyond the NBA playoffs ... pleading with a judge to let his daughter see him play in the Summer Olympic Games -- a move his baby mama is fighting due to TERRORIST threats -- this according to a new Florida lawsuit.

According to legal documents filed in Florida, the Miami Heat star wants a judge to clear a legal path for his 3-year-old daughter to visit him in London during the Olympics ... where he's playing for Team USA, but his ex Allison Mathis claims it's a dangerous situation.

According to the docs, Mathis says even though her ex "is willing to take the risk of terrorism," she doesn't think a child "should be willingly taken to a place of promised danger."

If you recall ... the NBA star and Mathis have been embroiled in a nasty custody battle for awhile ... and Bosh says this latest skirmish is another example of Mathis trying to keep him from his daughter.