The Legion has no strategic interest in taking the Mojave and in the end it will be impossible for them to hold it or make advances into California.
A. The Tunnelers swarming the Mojave from Lonesome Road will ensure that the human only Legion force garrisoned in the area will not be able to protect the city from being overrun by the creatures. Listen to Uylesses about the threat the tunnelers pose. Any creature that can kill a deathclaw, move underground, is heading towards the Mojave and seeks out humans to kill unlike Deathclaws will break the Legion in the Mojave.
B. The NCR will continue to send missions to the Mojave to kill their leadership. The NCR also has significant military capabilities to disrupt the Legion hold on the area. Talk to Oliver at the end of the game about his intention to continue to harass the Mojave.
C. Just as the Divide kept top NCR forces out of the Mojave and slowed supply lines it will do the same to the Legion trying to advance into California. When you add in the tunnelers and NCR they have no hope of expanding past the Mojave.
D. According to Legate during the end game it took years of resources to start the second battle for the Hoover Dam and yet in most endings in the game (3 out of 4) the Legion loses, even when the player does not kill one Legion solider. The odds are not in Caesars favor for winning and it does not seem the Legion has a large enough force to dislodge the NCR from the Dam, a position they have fortified for 4 years.
E. Vegas is not worth the risk, time or resources Caesar has poured into it. For all of the years of labor, time and effort he has put into conquering Vegas he could of simply built himself a great capital in Flagstaff and expanded his empire in other directions. Vegas has no manufacturing and is basically some [censored] houses and gambling dens. Caesar does not seem interested in using the Hoover Dam for any manufacturing purpose and if it is under Legion rule Vegas would not be a great trade city but one dependent on the rest of the Legion held lands to survive. Talk to Legate with high barter about this matter he will basically agree to the same thing.