I think these two posts might speak to each other. Mourinho's past sides have often been much more expansive in attack. The last truly great team he had was Chelsea 14-15, a side that played a defensively-challenged Cesc Fabregas in a double pivot and allowed him to freely join and direct the attack (18 assists!), generally looked to dominate possession, and rarely scored on counter attacks. His last title winners previous to that, the Real Madrid team that won the league in 11-12 ,scored 121 goals in the league, which is just a stupid number and higher than any of Pep's Barca sides of that era.
I think what Mourinho needs more than anything is a group of very capable defenders he can rely upon and who can be the foundation for the rest of his tactics. Especially against lower level opposition, he is perfectly happy to attack, possess the ball, and even put a few flair players in midfield as long as behind them there is a back four he fully trusts not to give up soft goals. He had that at Chelsea the first time around, at Inter, at Real Madrid, and at Chelsea the second time around. But if he doesn't have that back four he trusts, he's just unwilling to manage an open side that plays a lot of 3-2 and 2-2 matches. As you say, he is going to close down shop, play two DMs to shield the back four, and try to win ugly. I think this was ultimately one of his big problems at Manchester United and is seemingly one at Spurs as well. I don't know how long the Mourinho era will last for Tottenham but if he stays through this summer I would expect him to be focused on adding a CB.