Some mocks.
 

Here's how a few mocks have the Chiefs drafting, at least in the rounds they mocked.

Other than Joeckel, one name is starting to show up more and more...

1 Kansas City: Luke Joeckel [OT, TAMU]
63 Kansas City: John Jenkins [NT Grg]
96 Kansas City: Brian Winters [G, KentS]
99 Kansas City: Kiko Alonso [ILB, Or]
134 Kansas City: Stedman Bailey [WR, WVU]

4 – Kansas City (via. Philadelphia) – Eric Fisher (LT – C. Michigan)
In trading back 3 spots the Chiefs effectively land pick 35 in this draft, the tackle they strongly considered with the #1 pick, solidified both tackle spots for this upcoming season and the LT spot for the next decade. The Chiefs seem content moving down in the draft and unless Arizona or Buffalo blows them out of the water with a deal that I don’t see either doing, this deal with the Eagles is a smart one.
Grade: Top 5
35 – Kansas City (via. Philadelphia) – Kevin Minter (ILB – L.S.U.)
Kansas City looks to round out its linebacking core with their pick added via the trade down with the Eagles. Minters instincts, reaction and game speed will be an asset to the Chiefs defense in any situation.
Grade: 1st Round

1) Kansas City Chiefs – Luke Joeckel, OT, Texas A&M
Even though the Chiefs have franchised Albert they are still in dire need of another Tackle and whether they play Joeckel at LT or RT this combination would be top 5 Bookends in the league. With Alex Smith now pretty secured as the starting QB of the Chiefs it will only make him better to give him great protection, and will make Jamaal Charles just that much more dangerous.
Player Comparison – Jake Long
1. Kansas City Chiefs – Tyler Wilson, QB, Arkansas
Alex Smith is the immediate starter but he is not a franchise QB so if the Chiefs can find one and groom him over the next few years that is what they are going to do. Wilson if he can return to his junior form he will be an excellent NFL QB. Wilson has an above average arm that can make all the throws and has shown flashes of great accuracy but needs to be more consistent and having two or three seasons to sit and learn from a great leader and hard work like Alex Smith might be just what Wilson needs to develop into that Franchise QB the Chiefs need.
Player Comparisons – Brodie Croyle
33. Kansas City Chiefs (Compensatory Pick) – Joseph Fauria, TE, UCLA
A very well rounded TE that will be a tremendous red zone threat, due to his massive size and big hands. Great size and speed for a player his size (6’7 260lbs) and possesses surprisingly good ball skills and the ability to high point balls even when defenders are all over him. Fauria is a big play waiting to happen down the field or particularly in the Red Zone. A very aggressive blocker who tries very hard but does not bend well enough to be a truly effective blocker. Was dangerously underutilized at UCLA and should be a better NFL player than he was a College. Most probably will think this is 20 picks to high but I really like him as a prospect.
Player Comparisons – Mercedes Lewis

1. Kansas City Chiefs - Luke Joeckel, Offensive Tackle, Texas A&M
[only 2 rounds were listed]

1. Kansas City Chiefs- Luke Joeckel OT Texas A&M
Albert is bumping heads with the FO. Need a replacement.
[only 1 rounds were listed]

1. Kansas City Eric Fisher, Central Michigan OT
63. Kansas City Robert Woods, USC WR
96. Kansas City Tyler Wilson, Arkansas QB

1 Kansas City - Luke Joekel OT Texas A&M
63 Kansas City - Tyler Wilson QB Arkansas
96 Kansas City - TJ McDonald S USC
99 Kansas City - Jon Bostic MLB Florida
134 Kansas City - Cornelius Washington DE Georgia

1 Kansas City Chiefs: Luke Joeckel, OT, Texas A&M
63 Kansas City Chiefs: Kiko Alonso, ILB, Oregon
96 Kansas City Chiefs: Sam Montgomery, DE, LSU
99 Kansas City Chiefs: Ryan Nassib, QB, Syracuse

My boy is doomed.

Maybe he'll win a game at least? :D

I swear to God, I'm about ready to call up Michelle Obama and fly her ass to Arrowhead Stadium so she can tell John Dorsey and Andy Reid about how fat people are evil.

Kevin Minter would be a fantastic addition inside next to Derrick Johnson.

Yes he would. However, they will never see him.

1 Kansas City - Luke Joekel OT Texas A&M
63 Kansas City - Tyler Wilson QB Arkansas
96 Kansas City - TJ McDonald S USC
99 Kansas City - Jon Bostic MLB Florida
134 Kansas City - Cornelius Washington DE Georgia


This would be an amazing draft like this one the best

Other than Washington can't play football and Wilson has been found out as a marginal at best prospect and it's too high for McDonald and Joeckel wasn't even the best tackle on his own college team.

I like pick #99 though.

No, it really wouldn't.