No we're fine, payments won't stop. This is a misunderstanding, people don't understand how bitcoin transactions work, and Blockchain.info does not show it correctly.
I'm not sure if it's appropriate to explain it here but I'll give it a try,
outgoing payments in Bitcoin are made out of incoming ones. For example you receive 10 BTC and need to pay 0.1 BTC. In this case the whole 10 BTC will be taken from the balance of the address they were assigned to, 0.1 will be send and 9.9 will be returned to ANOTHER address of yours. So the balance of the first address will be reduced by 10 BTC.
We get this question a lot and we'll make some adjustments so it doesn't look like we're running out of balance.