Tech billionaires are flocking to this former bohemian enclave in Miami. See what life is like inside Coconut Grove. Coconut Grove is becoming the new billionaire's playground in Miami. Bloomberg/Getty Images Billionaires are flocking to Miami, and many are settling in the neighborhood of Coconut Grove. Coconut Grove's family-friendly, low-key vibe contrasts with other wealthy enclaves in Miami. The area is full of fine dining, elite schools, and yachts, appealing to affluent newcomers. A new wave of billionaires is moving to Miami , but the neighborhoods they're calling home might not be the first that come to mind. Amid the wealth migration to the city — in part driven by  tax proposals  targeting the ultrawealthy — the leafy neighborhood of Coconut Grove has emerged as one of the most coveted addresses in South Florida.…